**Course: **MATH 1350

**Title: **Survey of Calculus

**Section: **113 (Class Number 6302)

**Campus: **Ohio University, Athens Campus

**Department: **Mathematics

**Academic Year: **2018 - 2019

**Term: **Spring Semester

**Instructor: **Mark Barsamian

**Contact Information: **My contact information is posted on my web page.

**Office Hours for 2018 - 2019 Spring Semester: **9am - 10am Mon - Fri in Morton 538

**Course Description: **A survey of basic concepts of calculus for students who want an introduction to calculus, but who do not need the depth of MATH 2301

**Prerequisites: **MATH 1321 or (C or better in 1200) or math placement level 2 or higher and WARNING: No credit for this course and MATH 2301 (MATH 1350 always deducted)

**Special Needs: **If you have physical, psychiatric, or learning disabilities that require accommodations, please let me know as soon as possible so that your needs may be appropriately met.

**Meeting Times and Locations: **Section 113 (Class Number 6302), taught by Mark Barsamian, meets at these times and locations:

- Mon, Wed, Fri 2:00pm - 2:55pm in Morton Hall Room 237
- Tue 1:30pm - 2:25pm in Morton Hall Room 237

**Course Packet Information: **

**What is it? **a 68-page packet, spiral bound in a blue cover, containing

- Complete Set of 10 Reference Pages
- Complete Set of 34 Class Drills
- List of Exercises
- Information about Tutoring and Supplemental Instruction (SI) on the Athens Campus

**Is it required? **It is required for students in Section 113 (Class Number 6302), taught by Mark Barsamian.

**Where do you get it? **Minuteman Press, 17 W. Washington Street, Athens (next to Donkey Coffee), (740) 593-7393

**What does it cost? **$10.25, including tax

**What do you ask for? **Tell them that you need the MATH 1350 Packet.

**Syllabus: **For Section 113 (Class Number 6302), taught by Mark Barsamian, this web page replaces the usual paper syllabus. If you need a paper syllabus (now or in the future), unhide the next three portions of hidden content (Textbook, Learning Outcomes, Calendar) and then print this web page.

**Textbook Information: **

**Title: ***Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version, 14 ^{th} Edition*

**Authors: **Barnett, Ziegler, Byleen, Stocker

**Publisher: **Pearson, 2019

**ISBN 13: **978-0-13-486264-4

**Remark: **The ISBN number listed above is for

- the 14
^{th}Edition of the book - Brief Version
- Includes the access code for the
*MyLab Math*online homework system.

**Learning Outcomes: **

- Concepts Covered in Chapter 2 and 3 of Our Textbook
- Find limits analytically, numerically and graphically including one-sided limits and limits at infinity.*
- Analyze the limit behavior of a function at a point in its domain to determine if the function is continuous at that point. Determine intervals in which a function is continuous. Analyze and classify the discontinuities of a function.*
- Find the derivative of a function using the limit definition.*
- Find the derivative of a function by identifying and applying the appropriate derivative formula.*
- Understand the interpretation of the derivative as the slope of a line tangent to a graph and as a rate of change.*
- Understand the business terminology of demand, cost, price, revenue, and profit, and solve applied problems including marginal analysis applications. Explain the relationship between marginal cost and average cost.*

- Concepts Covered in Chapter 4 of Our Textbook
- Find higher order derivatives of a function.*
- Use the first derivative to determine intervals on which the graph of a function is increasing or decreasing and to determine critical points of the function.*
- Use the second derivative to determine intervals on which the graph of a function is concave upwards or concave downwards and to determine points of inflection.*
- Find and classify relative extrema of a function.*
- Find the absolute extrema of a continuous function on a closed interval.*

- Concepts Covered in Chapter 5 and 6 of Our Textbook
- Find antiderivatives and indefinite integrals using integration formulas and the method of substitution*
- Identify definite integrals of functions as the areas of regions between the graph of the function and the
*x*-axis.* - Estimate the numerical value of a definite integral using a Riemann sum.**
- Use the Fundamental Theorem of Calculus to evaluate definite integrals.*
- Use definite integrals to calculate the area of the region under a curve and the area of the region between two curves.*
- Use definite integrals to calculate the average value of a function on an integral.**
- Find present value and future value for an investment with interest compounded continuously.*
- 4.10 For given supply and demand functions, find and interpret the consumer's surplus and the producer's surplus.*

Note: This list of Learning Outcomes has been designed to adhere to the *Transfer Assurance Guides* (TAGS) provided by the University System of Ohio.

- General information about TAGS can be found at the following link: (TAGS).
- The specific list of TAGS requirements for Business Calculus can be found at the following link: (Business Calculus).
- The symbol * denotes essential learning outcomes from the TAGS.
- The symbol ** denotes optional topics from the TAGS.

**Calendar: **

**Day #1:**2.1 Intro to Limits: Graphical Approach**Topic:**Graphical Approach to Limits**Book Section:**2.1 Introduction to Limits**Class Drills:**Class Drill 1: Limits for a Function Given by a Graph**Lecture Notes:**Lecture Notes Day 1**Exercises:**- E01: Skills Warmup: Factoring (1,3,5)
- E02: Given graph of
*f*, find limit. (15,16,21,23) - E03: Given specified limit behavior, sketch graph of
*f*. (47,49)

**Day #2:**2.1 Intro to Limits: Analytical Approach**Topic:**Analytical Approach to Limits**Book Section:**2.1 Introduction to Limits**Reference:**Reference 2: Facts About Limits from Section 2.1**Lecture Notes:**Lecture Notes Day 2**Exercises:**- E04: Using Theorem 2 Limit Properties to find Limits (33,35,37,41)
- E05: Limits of Rational Functions (59,61,63,73,75)
- E06: Limits of Piecewise-Defined Functions (53,57,91)
- E07: Limits of Difference Quotients (81,83)
- E08: Conceptual Questions (67,68,69,70,71,72)

**Day #3:**2.2 Infinite Limits; Graphical Examples**Topic:**Introduce Limits Involving Infinity and Discuss Examples for a Function Given by a Graph**Book Section:**2.2 Infinite Limits and Limits at Infinity**Reference:**Reference 3: Contrasting Limit Methods from Sections 2.1 and 2.2**Class Drill:**Class Drill 2: Limits Involving Infinity for a Function Given by a Graph**Lecture Notes:**Lecture Notes Day 3**Exercises:**- E09: Skills Warmup: Line Equations (3,4)
- E10: Given graph of
*f*, find limit. (9,10,11,12,13,14,15,16)

**Day #4:**2.2 Analytical Approach to Infinite Limits and Vertical Asymptotes**(H01 Due)(Quiz 1)****Topic:**Analytical Approach to Infinite Limits and Vertical Asymptotes**Book Section:**2.2 Infinite Limits and Limits at Infinity**Reference:**Reference 3: Contrasting Limit Methods from Sections 2.1 and 2.2**Class Drills:**Class Drill 3: Finding*y*-values and Limits for a Rational Function**Lecture Notes:**Lecture Notes Day 4**Exercises:**E11: Given formula for*f*, find limit. (17,19,21,23,41,43,45)**Homework Due:**H01 due at the start of class.**Quiz:**Quiz 1

**Monday is Martin Luther King Day Holiday: No Class****Day #5:**2.2 Limits at Infinity; Horizontal Aysmptotes**Topic:**Limits at Infinity and Horizontal Aysmptotes**Book Section:**2.2 Infinite Limits and Limits at Infinity**Reference:****Lecture Notes:**Lecture Notes Day 5**Exercises:**- E12: Polynomial End Behavior (27,31,79)
- E13: Limits at Infinity; End Behavior (33,37,39,65,67,68,69)
- E14: Applied: Time Going to Infinity (85,88)
- E15: Find all horizontal & vertical asymptotes (51,53,57,61,63)
- E16: Conceptual Questions (73,74,75,76,77,78)

**Day #6:**2.3 Introduction to Continuity**Topic:**Introduction to Continuity**Book Section:**2.3 Continuity**Class Drill:**Class Drill 4: Limits and Continuity of a Function Given by a Graph**Lecture Notes:**Lecture Notes Day 6**Exercises:**- E17: Skills Warmup: Interval Notation (2,3,7)
- E18: Given graph of
*f*, find limit and continuity behavior (19,20,27) - E19: Given specified limit and continuity behavior, sketch graph (11,14)
- E20: Given formula for
*f*, where is*f*continuous? (35,37,69) - E21: Conceptual Questions (77,78,79,80,81)

**Day #7:**2.3 Determining the Sign Behavior of a Function**(H02 Due)(Quiz 2)****Topic:**Determining the Sign Behavior of a Function**Book Section:**2.3 Continuity**Lecture Notes:**Lecture Notes Day 7**Exercises:**- E22: Positive and Negative Behavior of Graphs and Functions (55,85)
- E23: Solving Inequalities (47,49,51,53)

**Homework Due:**H02 due at the start of class.**Quiz 2**

**Day #8:**2.4 Rates of Change**Topic:**Rates of Change**Book Section:**2.4 The Derivative**Reference:**Reference 6: Definitions of Rates of Change**Class Drills:**Class Drill 5: Representations of Slopes**Lecture Notes:**Lecture Notes Day 8**Exercises:**- E24: Skills Warmup: Compute Slope of Line (1)
- E25: Secant & Tangent Line Slopes (9,11,13,15,45,47,57)

**Day #9:**2.4 Introduction to the Derivative**Topic:**Introduction to the Derivative**Book Section:**2.4 The Derivative**Reference:**Reference 6: Definitions of Rates of Change**Class Drills:**Class Drill 6: Finding Derivatives Graphically Using a Ruler**Teacher Prep:**Class Drill 6 Extra Graphs**Lecture Notes:**Lecture Notes Day 9**Exercises:**- E26: Computing
*f '*for Polynomial (19,21,27,29,81,89)

- E26: Computing

**Wednesday, January 30, 2019 Classes Cancelled****Day #10:**2.4 Using the Definition of the Derivative to find Derivatives**Topic:**Using the*Definition of the Derivative*to find Derivatives**Book Section:**2.4 The Derivative**Lecture Notes:**Lecture Notes Day 10**Exercises:**- E27: Computing
*f '*for 1/*x*and*sqrt*(*x*) Type Functions (35,37) - E28: Given graph of
*f*, where does*f '*exist? (49,50,51,52,53,54) - E29: Conceptual Questions: (63,64,65,66,68)

- E27: Computing

**Day #11:**2.5 Constant Function Rule; Power Rule**(H03 Due)(Quiz 3)****Topic:**Constant Function Rule; Power Rule**Book Section:**2.5 Basic Differentiation Properties**Lecture Notes:**Lecture Notes Day 11**Exercises:**- E30: Skills Warmup: Rewrite as power function (1,2,3,4,5,6,7,8)
- E31: Constant Function Rule and Power Rule (9,11,13,15,17,19)
**Homework Due:**H03 due at the start of class.**Quiz 3**

**Day #12:**2.5 Sum Rule; Constant Multiple Rule**Topic:**Sum Rule; Constant Multiple Rule**Book Section:**2.5 Basic Differentiation Properties**Reference:**Reference 7: Derivative and Indefinite Integral Rules**Class Drills:****Lecture Notes:**Lecture Notes Day 12**Exercises:**- E32: Sum Rule, Const Multiple rule, Power rule (35,37,49)
- E33: Rewrite as sum of
*const*×*x*, then differentiate (45,51,53,55,81)^{p} - E34: Tangent Line and Instantaneous Velocity (59,63)
- E35: Conceptual Question (83,84,85,86)
- E36: Applied Problems (89,91,97)

**Day #13:**2.7 Introduction to Marginal Analysis and Estimation**Topic:**Introduction to Marginal Analysis and Estimation**Book Section:**2.7 Marginal Analysis in Business and Economics**Reference:**Reference 8: Business Terminology**Class Drills:**Class Drill 9: Questions about Tangent Lines**Lecture Notes:**Lecture Notes Day 13**Exercises:**- E37: Skills Warmup: Computing Cost and Average Cost (1,2,3,4)
- E38: Computing Marginal Quantities (9,13,17)
- E39: Applied Problems (33,43,45,47,49,51)

**Day #14:**2.7 Marginal Analysis: More Estimation Problems**Topic:**Marginal Analysis: More Estimation Problems**Book Section:**2.7 Marginal Analysis in Business and Economics**Reference:**Reference 8: Business Terminology**Lecture Notes:**Lecture Notes Day 14**Exercises:**- E39: Applied Problems (33,43,45,47,49,51)

**Day #15:****In-Class Exam 1 on Chapter 2****Day #16:**3.1 Simple Interest; Periodically Compounded Interest; the Constant*e***Topic:**Simple Interest; Periodically Compounded Interest; the Constant*e***Book Section:**3.1 The Constant*e*and Continuously Compounded Interest**Lecture Notes:**Lecture Notes Day 16**Exercises:**- E40: Skills Warmup: Solving For Specified Variable (3,7)
- E41: Using Table of Values to Investigate Limit (21,23)

**Day #17:**3.1 Continuously Compound Interest**Topic:**Continuously Compounded Interest**Book Section:**3.1 The Constant*e*and Continuously Compounded Interest**Lecture Notes:**Lecture Notes Day 17**Exercises:**- E42: Continuously Compounded Int (11,13,27,29,31,35,37,41)
- E43: Radioactive Decay (43,45)

**Day #18:**3.2 Derivatives of Exponential Functions**Topic:**Derivatives of Exponential Functions**Book Section:**3.2 Derivatives of Exponential and Logarithmic Functions**Reference:**Reference 7: Derivative and Indefinite Integral Rules**Class Drills:**Class Drill 10 Derivatives of Functions Involving Exponents**Lecture Notes:**Lecture Notes Day 18**Exercises:**- E44: Differentiating Exponential Functions (13,27,53,57)
- E45: Tangent Line and Applied Problems: Exponential (33,67,69,75)

**Day #19:**3.2 Derivatives of Logarithmic Functions**(H04 Due)(Quiz 4)****Topic:**Derivatives of Logarithmic Functions**Book Section:**3.2 Derivatives of Exponential and Logarithmic Functions**Reference:**Reference 7: Derivative and Indefinite Integral Rules**Class Drills:**Class Drill 11: Derivatives of Functions Involving Logarithms**Lecture Notes:**Lecture Notes Day 19**Exercises:**- E46: Skills Warmup: Rewriting Log Expressions (7,8,9,10)
- E47: Differentiating Logarithmic Functions (15,21,43,44,51,55)
- E48: Tangent Line Problems: Logarithmic (31,35)
**Homework Due:**H04 due at the start of class.**Quiz 4**

**Day #20:**3.3 Derivatives of Products**Topic:**Derivatives of Products**Book Section:**3.3 Derivatives of Products and Quotients**Reference:**Reference 7: Derivative and Indefinite Integral Rules**Lecture Notes:**Lecture Notes Day 20**Exercises:**E49: Differentiating Products (17,19,21,55)

**Day #21:**3.3 Derivatives of Quotients**Topic:**Derivatives of Quotients**Book Section:**3.3 Derivatives of Products and Quotients**Reference:**Reference 7: Derivative and Indefinite Integral Rules**Class Drills:**Class Drill 12: Don't Forget the Easy Derivative Rules**Lecture Notes:**Lecture Notes Day 21**Exercises:**- E50: Differentiating Quotients (25,31,33,69)
- E51: Trick: Rewrite First to Eliminate Quotient (59,73)

**Day #22:**3.3 More difficult Quotient Rule problems**Topic:**More difficult Quotient Rule problems**Book Section:**3.3 Derivatives of Products and Quotients**Reference:**Reference 7: Derivative and Indefinite Integral Rules**Lecture Notes:**Lecture Notes Day 22**Exercises:**- E52: Tangent Line Problems Involving Quotients (63,65)
- E53: Applied Problems Involving Quotients (93,95,97)

**Day #23:**3.4 The Chain Rule**(H05 Due)(Quiz 5)****Topic:**Chain Rule Applied to Nested Functions with a Power Function as the Outer Function**Book Section:**3.4 The Chain Rule**Reference:**Reference 7: Derivative and Indefinite Integral Rules**Lecture Notes:**Lecture Notes Day 23**Exercises:**E54: Power Function Outer Function (21,27,29,33,37,55,67)**Homework Due:**H05 due at the start of class.**Quiz 5**

**Day #24:**3.4 The Chain Rule**Topic:**Chain Rule Applied to General Nested Functions**Book Section:**3.4 The Chain Rule**Reference:**Reference 7: Derivative and Indefinite Integral Rules**Class Drills:**Class Drill 13: Don't Forget the Easy Derivative Rules Part II**Lecture Notes:**Lecture Notes Day 24**Exercises:**- E55: Exponential or Logarithmic Outer Function (25,31,39,40)
- E56: Applied Problems (91,95,97)
- E57: Product Rule then Chain Rule (47,63)

**Day #25:**Rate of Change Class Drills**Topic:**Rate of Change Problems**Book Section:**Concepts from Book Sections 2.5, 3.2, 3.3, 3.4**Class Drills:**Rate of Change Class Drills 14a, 14b, 14c, 14d**Lecture Notes:**Lecture Notes Day 25**Exercises:**Do the Rate of Change Class Drills that were not done in class.

**Day #26:****In-Class Exam 2 on Chapter 3 and Rate of Change Class Drills**

**Day #27:**4.1 Horizontal Tangent Lines; Increasing & Decreasing Functions**Topic:**Horizontal Tangent Lines; Increasing & Decreasing Functions**Book Section:**4.1 First Derivative and Graphs**Reference:**Reference 9: Derivative Relationships**Class Drills:****Lecture Notes:**Lecture Notes Day 27**Exercises:**- E58: Graphical Probs (9,11,13,14,19,21,23,25,61,65,79,83)
- E59: Incr and Decr intervals for function given by formula (49,51,53,55)

**Day #28:**4.1 Local Extrema & 1st Derivative Test**Topic:**Local Extrema and the 1^{st}Derivative Test**Book Section:**4.1 First Derivative and Graphs**Reference:**Reference 9: Derivative Relationships**Class Drills:****Lecture Notes:**Lecture Notes Day 28**Exercises:**- E60: Partition numbers, Critical numbers (27,29,31)
- E61: First Derivative Test (17,43,45,85,97)

**Day #29:**4.1 More Examples Involving the 1st Derivative Test**Topic:**More Examples Involving the 1^{st}Derivative Test**Book Section:**4.1 First Derivative and Graphs**Reference:**Reference 9: Derivative Relationships**Class Drills:**Class Drill 19: Using the First Derivative Test on a Function Given by a Formula**Lecture Notes:**Lecture Notes Day 29**Exercises:**E61: First Derivative Test (17,43,45,85,97)

**Day #30:**4.2 Concavity and 1st Derivative**(H06 Due)(Quiz 6)****Topic:**Concavity and the 1^{st}Derivative**Book Section:**4.2 Second Derivative and Graphs**Reference:**Reference 9: Derivative Relationships**Class Drills:****Lecture Notes:**Lecture Notes Day 30**Exercises:**E62: Shapes of graphs (9,13)**Homework Due:**H06 due at the start of class.**Quiz 6**

**Day #31:**4.2 Concavity and 2nd Derivative**Topic:**Concavity and the 2^{nd}Derivative**Book Section:**4.2 Second Derivative and Graphs**Reference:**Reference 9: Derivative Relationships**Lecture Notes:**Lecture Notes Day 31**Exercises:**- E63: Find Second Derivative (17,19)
- E64: Given formula for f, determine concavity (33,35,37,87,89)

**Day #32:**4.2 Curve Sketching**Topic:**Curve Sketching**Book Section:**4.2 Second Derivative and Graphs**Reference:**Reference 9: Derivative Relationships**Class Drills:****Lecture Notes:**Lecture Notes Day 32**Exercises:**E65: Graphing (45,49,57,77)

**Day #33:**4.5 Absolute Max & Min; Closed Interval Method**Topic:**Absolute Max & Min; Finding Absolute Max & Min Using Closed Interval Method**Book Section:**4.5 Absolute Maxima and Minima**Lecture Notes:**Lecture Notes Day 33**Exercises:**- E66: Identifying Absolute Extrema on Graph (9,17)
- E67: Closed Interval Method (26,67)

**Day #34:**4.5 Absolute Max & Min on Open Interval; 2^{nd}Derivative Test**(H07 Due)(Quiz 7)****Topic:**Finding Absolute Max & Min on Open Interval; Second Derivative Test**Book Section:**4.5 Absolute Maxima and Minima**Class Drills:**Class Drill 24: Local and Absolute Extrema**Lecture Notes:**Lecture Notes Day 34**Exercises:**- E68: Finding Absolute Extrema on Open Interval (43,49,51,53)
- E69: Second Derivative Test (35,37,73,75)

**Homework Due:**H07 due at the start of class.**Quiz 7**

**Day #35:**4.6 Single Variable Optimization: Maximizing Revenue and Profit**Topic:**Single Variable Optimization: Maximizing Revenue and Profit**Book Section:**4.6 Optimization**Class Drills:**Class Drill 25: Maximizing Revenue**Lecture Notes:**Lecture Notes Day 35**Exercises:**E70: Single Variable Maximizing Revenue (19,25,27)

**Day #36:**4.6 Two Variable Abstract Optimization Problems**Topic:**Two Variable Abstract Optimization Problems**Book Section:**4.6 Optimization**Lecture Notes:**Lecture Notes Day 36**Exercises:**E71: Two Variable Abstract Optimization Problems (9,13,15,17)

**Day #37:**4.6 Two Variable Applied Optimization Problems**Topic:**Two Variable Applied Optimization Problems**Book Section:**4.6 Optimization**Lecture Notes:**Lecture Notes Day 37**Exercises:**E72: Two Variable Applied Max Min Fence Problems (33,34,35,36)

**Day #38:****In-Class Exam 3 on Chapter 4**

**Day #39:**5.1 Antiderivatives**Topic:**Antiderivatives**Book Section:**5.1 Antiderivatives and Indefinite Integrals**Class Drills:**Class Drill 26: Is One Given Function an Antiderivative of Another Given Function?**Lecture Notes:**Lecture Notes Day 39**Exercises:**- E73: Rewrite function as sum of
*const*×*x*: (1,3,5)^{p} - E74: Is one function antiderivative of another? (25,27,28,29,31,33,34,35,36,37,38)
- E75: Graphs of antiderivatives of a function (39,41)

- E73: Rewrite function as sum of

**Day #40:**5.1 Indefinite Integrals**Lecture Notes:**Lecture Notes Day 40**Topic:**Indefinite Integrals**Book Section:**5.1 Antiderivatives and Indefinite Integrals**Reference:**Reference 7: Derivative and Indefinite Integral Rules**Exercises:**E76: Basic Indefinite Integrals (9,11,13,17,19,21,23)

**Day #41:**5.1 Indefinite Integrals**Topic:**Indefinite Integrals**Book Section:**5.1 Antiderivatives and Indefinite Integrals**Reference:**Reference 7: Derivative and Indefinite Integral Rules**Class Drills:**Class Drill 27: Good and Bad Indefinite Integral Solutions**Lecture Notes:**Lecture Notes Day 41**Exercises:**- E77: Rewrite integrand then integrate (43,45,47,49,51,53)
- E78: Find particular antiderivative satisfying extra condition (55,61)

**Day #42:**5.2 Intro to Substitution Method; Basic Substitution Integrals**(H08 Due)(Quiz 8)****Topic:**Introduction to the Substitution Method and Basic Substitution Integrals**Book Section:**5.2 Integration by Substitution**Reference:**Reference 10: The Substitution Method for Indefinite Integrals**Class Drills:**Class Drill 28: Is One Given Function an Antiderivative of Another Given Function?**Lecture Notes:**Lecture Notes Day 42**Exercises:**- E79: Review of Chain Rule Derivatives (3,5,7)
- E80: Is one function an antiderivative of another? (51,52,53,55,56,57)
- E81: Basic Substitution Integrals: Power Function Outer Function and No Leftover Constant (11,15,17,19)

**Homework Due:**H08 due at the start of class.**Quiz 8**

**Day #43:**5.2 Harder Substitution Integrals**Topic:**Harder Substitution Integrals**Book Section:**5.2 Integration by Substitution**Reference:**Reference 10: The Substitution Method for Indefinite Integrals**Class Drills**Class Drill 29: The Substitution Method**Lecture Notes:**Lecture Notes Day 43**Exercises:**- E82: Harder Substitution Integrals: Leftover Constants and General Outer Functions (23,27,29,31,33,41,65,67)
- E83: Application of Substitution Integrals to Total Change Problems (81,85)

**Day #44:**5.4 Approximating Areas by Left and Right Sums**Topic:**Approximating Areas by Left and Right Sums**Book Section:**5.4 The Definite Integral**Class Drills:****Lecture Notes:**Lecture Notes Day 44**Exercises:**E84: Approximating areas with Sums (7,13,15,17,19,23,61,73)

**Day #45:**5.4 The Definite Integral as a Limit of Sums**Topic:**The Definite Integral as a Limit of Sums**Book Section:**5.4 The Definite Integral**Lecture Notes:**Lecture Notes Day 45**Exercises:**- E85: Using Properties of Definite Integral (33,41,45,49,51,53)
- E86: Conceptual Problems (55,56)

**Day #46:**5.5 Fundamental Theorem of Calculus**(H09 Due)(Quiz 9)****Topic:**The Fundamental Theorem of Calculus**Book Section:**5.5 The Fundamental Theorem of Calculus**Class Drills:**Class Drill 32: The Fundamental Theorem of Calculus**Lecture Notes:**Lecture Notes Day 46**Exercises:**E87: Basic Definite Integrals (11,13,15,17,19,21,23,25,27,31)**Homework Due:**H09 due at the start of class.**Quiz 9**

**Day #47:**5.5 Fund. Thm. of Calculus Applied to Total Change Problems**Topic:**The Fundamental Theorem of Calculus Applied to Total Change Problems**Book Section:**5.5 The Fundamental Theorem of Calculus**Lecture Notes:**Lecture Notes Day 47**Exercises:**- E88: Harder Definite Integrals (35,36,38,39,41,45)
- E89: Total Change Problems (69,71,89)

**Day #48:**5.5 Average Value of Continuous Function over an Interval**Topic:**The Average Value of a Function Over an Interval**Book Section:**5.5 The Fundamental Theorem of Calculus**Lecture Notes:**Lecture Notes Day 48**Exercises:**E90: Average Value of a Function Over an Interval (49,51,55,92)

**Day #49:****In-Class Exam 4 on Chapter 5****Exam 4 will be six problems:**- (20 points) Is one given function an antiderivative of another given function?
- Exercises 5.1 # 25, 27, 28, 29, 31, 33, 34, 35, 36, 37, 38 and 5.2 # 51, 52, 53, 55, 56, 57
- Class Drills #26, 28
- Class Examples Mon April 1, Tue April 2, Mon April 8
- Homework H08 problem [1] and H09 problem [2]
- Quiz 8 problem [1]

- (30 points) Find a particular antiderivative satisfying an extra condition
- Exercises 5.1 # 55, 61
- Class Examples Fri April 5, Mon April 8
- Homework H09 problem [1]

- (40 points) Indefinite Integrals
- Exercises 5.1 # 17, 19, 21, 23, 43, 45, 47, 49, 51, 53
- Class Drill # 27
- Class Examples Tue Apr 2, Wed Apr 3, Fri Apr 5
- Homework H08 problems [2], [3]
- Quiz 8 problem [2]

- (20 points) Substitution Problem
- Exercises 5.2 # 11, 15, 17, 19, 23, 27, 29, 31, 33, 41, 65, 67
- Class Drill # 29
- Class Examples Mon Apr 8, Tue Apr 9,
- Homework H09 problems [3], [4], [5]
- Quiz 9

- (20 points) Definite Integral Problem
- Exercises 5.4 # 7, 13, 15, 17, 19, 33, 41
- Class Drills # 30, 31
- Class Examples Wed Apr 10, Fri Apr 12

- (20 points) Fundamental Theorem of Calculus Problem
- Exercises 5.5 # 11, 13, 15, 17, 19, 21, 23, 25, 27, 31, 35, 36, 38, 39, 41, 45
**Class Drills:**Class Drill 32: The Fundamental Theorem of Calculus- Class Examples Mon Apr 15, Tue Apr 16

- (20 points) Is one given function an antiderivative of another given function?
**Day #50:**6.1 The Area Between a Curve and the*x*-axis; The Area Between Two Curves;**Topic:**The Area Between a Curve and the*x*-axis; The Area Between Two Curves**Book Section:**6.1 Area Between Curves**Class Drill:**Class Drill 33: Finding Area Bounded by Curves Using Two Different Methods**Lecture Notes:**Lecture Notes Day 50**Exercises:**- E91: Area between curve and x-axis (9,11,17,21,23,25,57)
- E92: Area between two curves (3,5,37,47,53,55,63)

**Day #51:**6.1 Area Between Curves Applied: Gini Index; Total Change**Topic:**Applications of the Area Between Two Curves**Book Section:**6.1 Area Between Curves**Handout:**Quantifying Income Inequality by the Gini Index**Interesting Article:**Gini Index of past societies**Lecture Notes:**Lecture Notes Day 51**Exercises:**E93: Applications of the Area Between Two Curves: Gini Index, Total Change (83,85,89)

**Day #52:**6.2 Total Income & Future Value for Continuous Income Stream**Topic:**Total Income and Future Value for a Continuous Income Stream**Book Section:**6.2 Applications of the Area Between Curves in Business and Economics**Lecture Notes:**Lecture Notes Day 52**Exercises:**- E94: Total Income from a Continuous Income Stream (37,39,41,43)
- E95: Future Value of Continuous Income Stream (9,13,45,47,49,51,53,67)

**Day #53:**6.2 Consumers' Surplus, Producers' Surplus**(H10 Due)(Quiz 10)****Topic:**Consumers' Surplus; Producers' Surplus**Book Section:**6.2 Applications of the Area Between Curves in Business and Economics**Lecture Notes:**Lecture Notes Day 53**Exercises:**E96: Consumers' Surplus; Consumers' Surplus (69,71,73,75,77)**Homework Due:**H10 due at the start of class.**Quiz 10**

**Day #54:**Equilibrium Price**Topic:**Equilibrium Price**Book Section:**6.2 Applications of the Area Between Curves in Business and Economics**Class Drills:**Class Drill 34: Finding Equilibrium Price and Consumers' and Producers' Surplus**Lecture Notes:**Lecture Notes Day 54**Exercises:**H96: Consumers' Surplus; Consumers' Surplus (69,71,73,75,77)

**Day #55: Mon Apr 29 Final Exam 12:20pm - 2:20pm in Morton 237**- The final Exam is on Monday, April 29, 2019 in Morton 237.
- The exam starts after 12:20pm, as soon as all your stuff is put away
- The exam ends at 2:20pm, no exceptions
- No calculators, no books, no notes, no cell phones.
- The Exam is 10 problems
- Compute a derivative using the Power Rule, Sum & Constant Multiple Rule, Exponential or Logarithmic Function, Product, Quotient, or Chain Rules Rules (
the**NOT***Definition of the Deriviative*. That is,the Limit)**NOT****Homework, Quiz, Exam Problems:**- H05 Problems [1],[2],[4]
- Quiz 5
- Exam 2 Problems [1], [2], [3]

**Exercises:**- 2.5 # 37, 45, 49, 51, 53, 55
- 3.2 # 13, 15, 21, 23, 43, 44, 51, 53, 55, 57
- 3.3 # 17, 19, 25, 31, 33, 55, 59, 69, 73
- 3.4 # 21, 25, 27, 29, 31, 33, 47, 55

**Class Drills:**

- Tangent line problem or Rate of Change Problem.
**Homework, Quiz, Exam Problems:**- H05 Problems [3],[5]
- Exam 2 Problems [4], [5]

**Exercises:**- 2.5 # 59, 63
- 3.2 # 31, 33, 35, 75
- 3.3 # 63
- 3.4 # 37, 39, 40

**Class Drills:**- Class Drill 9: Questions about Tangent Lines
- Class Drill 11: Derivatives of Functions Involving Logarithms
- Rate of Change Class Drills 14a, 14b, 14c, 14d

- Problem about intervals of increase & decrease, local extrema, intervals of concavity, inflection points (One of the 13 problems listed below.)
**Homework, Quiz, Exam Problems:**- H06 Problems [1], [2], [3], [4], [5]
- H07 Problems [1], [2], [3], [4]
- Quiz 6, Quiz 7
- Exam 3 Problems [1], [2], [3], [4], [5]

**Exercises:**- 4.1 # 43, 45, 49, 51, 61, 65
- 4.2 # 33, 35, 37, 45, 49, 57, 89

**Class Drills:**

- Problem about finding absolute max/min or optimization.
**Homework, Quiz, Exam Problems:**- H07 Problems [5]
- Exam 3 Problems [6], [7]

**Exercises:**- 4.5 # 26, 43, 51, 53, 67
- 4.6 # 19, 27, 33, 34, 35, 36

**Class Drill:**Class Drill 25: Maximizing Revenue

- Compute an Indefinite Integral
**Homework, Quiz, Exam Problems:**- H08 Problems [2], [3]
- H09 Problem [1]
- Quiz 8, Problem [2]
- Exam 4 Problems [2], [3]

**Exercises:**5.1 # 9, 11, 17, 19, 21, 43, 45, 49, 51, 53, 55, 61

- Find a Definite Integral using the Fundamental Theorem of Calculus.
**Homework, Quiz, Exam Problems:**- Exam 4 Problem [6]

**Exercises:**5.5 # 13, 15, 17,19, 21, 23, 25, 27, 29, 35, 36**Class Drills:**Class Drill 32: The Fundamental Theorem of Calculus

- Problem involving the area between curves.
**Homework, Quiz, Exam Problems:**- H10 Problems [1], [2], [3]
- Quiz 10

**Exercises:**6.1 # 47, 53, 55, 63, 89**Class Drill:**Class Drill 33: Finding Area Bounded by Curves Using Two Different Methods

- Problem about Lorenz Curve & Gini Index.
**Handout:**Quantifying Income Inequality by the Gini Index**Exercises:**6.1 # 83, 85

- Problem about Total Total Income for a Continuous Income Stream or Future Value of a Continuous Income Stream
**Exercises:**6.2 # 33, 35, 37, 39, 41, 43, 47, 49

- Problem about Consumers' Surplus / Consumers' Surplus / Equilibrium Point
**Exercises:**6.2 # 69, 71, 73, 75, 77**Class Drill:**Class Drill 34: Finding Equilibrium Price and Consumers' and Producers' Surplus

- Compute a derivative using the Power Rule, Sum & Constant Multiple Rule, Exponential or Logarithmic Function, Product, Quotient, or Chain Rules Rules (
**Remark: Six of the ten Final Exam problems are based on problems from our quizzes and in-class exams!**

**Grading: **

During the semester, you will accumulate a * Points Total* of up to

**Homework:**10 Assignments @ 10 points each = 100 points possible**Quizzes:**Best 8 of 10 quizzes @ 25 points each = 200 points possible**In-Class Exams:**Best 3 of 4 exams @ 150 points each = 450 points possible**Final Exam:**250 points possible

At the end of the semester, your * Points Total* will be converted into your

- A grade of
**A, A-**means that you mastered all concepts, with no significant gaps.- 900 - 1000 points = 90% - 100% =
**A** - 850 - 899 points = 85% - 89.9% =
**A-**

- 900 - 1000 points = 90% - 100% =
- A grade of
**B+, B, B-**means that you mastered all essential concepts and many advanced concepts, but have some significant gaps.- 800 - 849 points = 80% - 84.9% =
**B+** - 750 - 799 points = 75% - 79.9% =
**B** - 700 - 749 points = 70% - 74.9% =
**B-**

- 800 - 849 points = 80% - 84.9% =
- A grade of
**C+, C, C-**means that you mastered most essential concepts and some advanced concepts, but have many significant gaps..- 650 - 699 points = 65% - 69.9% =
**C+** - 600 - 649 points = 60% - 64.9% =
**C** - 550 - 599 points = 55% - 59.9% =
**C-**

- 650 - 699 points = 65% - 69.9% =
- A grade of
**D+, D, D-**means that you mastered some essential concepts.- 500 - 549 points = 50% - 54.9% =
**D+** - 450 - 499 points = 45% - 49.9% =
**D** - 400 - 449 points = 40% - 44.9% =
**D-**

- 500 - 549 points = 50% - 54.9% =
- A grade of
**F**means that you did not master essential concepts.- 0 - 399 points = 0% - 39.9% =
**F**

- 0 - 399 points = 0% - 39.9% =

Note that although this grading scale may look easy compared to the usual 90,80,70,60 scale, it is actually not easier. The reasons are:

- The letter grades in this course mean the same thing as the letter grades in other courses.
- When I grade homework and exams, I give out fewer points. (In this course, if you do grade C work on a 20 point exam problem, you will get between 11, 12, or 13 points for the problem. That is in the range 55% - 69.9%. But in somebody else's course that uses the 90,80,70,60 scale, you would have gotten 14 or 15 points for the problem. That is in the range 70% - 79.9%.)
**There is no curve.**

**Course Structure: **

One learns math primarily by trying to solve problems. This course is designed to provide structure for you as you learn to solve problems, and to test how well you have learned to solve them. This structure is provided in the following ways.

**Textbook Readings:**To succeed in the course, you will need to read the textbook, study the examples in it, and work on the "matched problems" that accompany the examples. Many of the examples are exactly like exercises on the exercise list and like problems on homework assignments, quizzes, and exams.**Lectures:**In lecture, I will sometimes highlight textbook material that is particularly important, sometimes present material in a manner different from the presentation in the book, and sometimes solve sample problems. We have 51 lectures, totaling 2805 minutes. It is not possible to cover the entire content of the course in 2805 minutes, and the lectures are not meant to do that. Lectures are meant to be a supplement to your reading the textbook and solving problems.**Office Hours:**Come to my office for help! My regular office hours are 8:45am - 9:30am Mon - Fri. If those times are not good for you, I am sometimes available at other times as well, but just not at a regular day & time. Call me, or email me, or talk to me after class to set something up.**Tutoring & SI:**For information about Tutoring and Supplemental Instruction (SI), go to the following link: Student Resources**Exercises:**Farther down this web page, you will find a long list of exercises. (The list is also printed inside the back cover of the Course Packet.) The goal of the course is for you to be able to solve the exercises on that list. The exercises are not to be turned in and are not graded, but you should write down solutions for as many of them as possible and keep your solutions in a notebook for study.**Written Work that is Graded:**Your course grade is determined by your performance on written work:*Homework*,*Quizzes*, and*Exams*. They are all based on the Exercise List (mentioned above) and on Class Drills.**Homework Assignments:**There are ten written homework assignments. They are to be turned in at the beginning of the class meeting on the dates shown in the calendar above. Details about the homework assignments can be found farther down this web page.**Quizzes:**There are ten Quizzes. These are roughly 10-15 minutes long and are given at the end of class on the dates shown in the calendar above.**In-Class Exams:**There are four In-Class Exams. These take an entire class period and are given on the dates shown in the calendar above. The amount of content on an In-Class Exam is roughly four times the amount of content on a Quiz.**Final Exam:**The final exam is given on the date shown in the calendar above. The amount of content on the Final Exam is roughly twice the amount of content on an In-Class Exam.**Style for Written Work:**Note that in the homework that you turn in and the quizzes and exams that you take, the goal is to present solutions to problems, not merely come up with answers.*You are graded on the clarity and correctness of your presentation of the solutions to the problems.*Here is a short*Style Guide*for your written work:### Style Guide for Written Solutions to Mathematical Problems

In the homework that you turn in and the quizzes and exams that you take, the goal is to present solutions to problems, not merely come up with answers.

- On homework, you should consider working out a solution on scrap paper first, and then rewriting it in a form suitable for turning in.
- Sections of the solution should have titles, just as sections of a book have titles.
- All details of calculations should be presented clearly, with explanations for key steps.
- All steps of a calculation need to be correct for the calculation to be considered correct. A calculation where multiple mistakes somehow cancel each other and give a correct answer is just as incorrect as a calculation where a mistake leads to a wrong answer.
- Answers should be simplified, unless you are specifically instructed to not simplify.
- Everything that you write should be in sentences.
- Of course, any prose that you write should be in sentences.
- But also note that mathematical symbols are just abbreviations for things that can be written in prose sentences. So really, all your mathematical symbols should be written in sentences, too.

- Mathematical expressions should be presented in equations with a correct left side.
- When you start a calculation of a new quantity, write it on a new line.
- Work in fractions and symbols, not mixed fractions or decimals.
- For example, write \(\frac{7}{3}\) instead of \(2\frac{1}{3}\) or 2.33
- For example, write \(\sqrt{3}\) instead of 1.73
- For example, write \(\frac{1}{e^2}\) instead of .135

- The square root symbol is fine. But for more complicated expressions, use fractional exponents instead of complicated radical notation.
- For example, both \(x^{1/2}\) and \(\sqrt{x}\) are fine.
- But write \(x^{5/3}\) instead of \(\sqrt[3]{x^5}\)

- Final answers should be written with positive exponents.
- For example, write \(\frac{1}{e^2}\) instead of \(e^{-2}\)

**Exercises: **

The goal of the course is for you to be able to solve the exercises on the list below. (The list is also printed inside the back cover of the Course Packet.) These exercises are not to be turned in and are not graded, but you should write down solutions for as many of them as possible and keep your solutions in a notebook for study.

- E01: Skills Warmup: Factoring (1,3,5)
- E02: Given graph of f, find limit (15,16,21,23)
- E03: Given specified limit behavior, sketch graph of f. (47,49)
- E04: Using Theorem 2 Limit Properties to find Limits (33,35,37,41)
- E05: Limits of Rational Functions (59,61,63,73,75)
- E06: Limits of Piecewise-Defined Functions (53,57,91)
- E07: Limits of Difference Quotients (81,83)
- E08: Conceptual Questions (67,68,69,70,71,72)

- E09: Skills Warmup: Line Equations (3,4)
- E10: Given graph of f, find limit (9,10,11,12,13,14,15,16)
- E11: Given formula for f, find limit (17,19,21,23,41,43,45)
- E12: Polynomial End Behavior (27,31,79)
- E13: Limits at Infinity; End Behavior (33,37,39,65,67,68,69)
- E14: Applied: Time Going to Infinity (85,86,88)
- E15: Find all horizontal & vertical asymptotes (51,53,57,61,63)
- E16: Conceptual Questions (73,74,75,76,77,78)

- E17: Skills Warmup: Interval Notation (2,3,7)
- E18: Given graph of f, find limit and continuity behavior (19,20,27)
- E19: Given specified limit and continuity behavior, sketch graph (11,14)
- E20: Given formula for f, where is f continuous? (35,37,69)
- E21: Conceptual Questions (77,78,79,80,81)
- E22: Positive and Negative Behavior of Graphs and Functions (55,85)
- E23: Solving Inequalities (47,49,51,53)

- E24: Skills Warmup: Compute Slope of Line (1)
- E25: Secant & Tangent Line Slopes (9,11,13,15,45,47,57)
- E26: Computing f' for Polynomial (19,21,27,29,81,89)
- E27: Computing f' for 1/x and sqrt(x) Type Functions (35,37)
- E28: Given graph of f, where does f' exist? (49,50,51,52,53,54)
- E29: Conceptual Questions: (63,64,65,66,68)

- E30: Skills Warmup: Rewrite as power function (1,2,3,4,5,6,7,8)
- E31: Constant Function Rule and Power Rule (9,11,13,15,17,19)
- E32: Sum Rule, Const Multiple rule, Power rule (35,37,49)
- E33: Rewrite as sum of const × x^p, then differentiate (45,51,53,55,81)
- E34: Tangent Line and Instantaneous Velocity (59,63)
- E35: Conceptual Question (83,84,85,86)
- E36: Applied Problems (89,91,97)

- E37: Skills Warmup: Computing Cost (1,2,3)
- E38: Computing Marginal Quantities (9,13,17)
- E39: Applied Problems (33,43,45,47,49,51)

- E40: Skills Warmup: Solving For Specified Variable (3,7)
- E41: Using Table of Values to Investigate Limit (21,23)
- E42: Continuously Compounded Int (11,13,27,29,31,35,37,41)
- E43: Radioactive Decay (43,45)

- E44: Differentiating Exponential Functions (13,27,53,57)
- E45: Tangent Line and Applied Problems: Exponential (33,67,69,75)
- E46: Skills Warmup: Rewriting Log Expressions (7,8,9,10)
- E47: Differentiating Logarithmic Functions (15,21,43,44,51,55)
- E48: Tangent Line Problems: Logarithmic (31,35)

- E49: Differentiating Products (17,19,21,55)
- E50: Differentiating Quotients (25,31,33,69)
- E51: Trick: Rewrite First to Eliminate Quotient (59,73)
- E52: Tangent Line Problems Involving Quotients (63,65)
- E53: Applied Problems Involving Quotients (93,95,97)

- E54: Power Function Outer Function (21,27,29,33,37,55,67)
- E55: Exponential or Logarithmic Outer Function (25,31,39,40)
- E56: Applied Problems (91,95,97)
- E57: Product Rule then Chain Rule (47,63)

- E58: Graphical Probs (9,11,13,14,19,21,23,25,61,65,79,83)
- E59: Incr and Decr intervals for function given by formula (49,51,53,55)
- E60: Partition numbers, Critical numbers (27,29,31)
- E61: First Derivative Test (17,43,45,85,97)

- E62: Shapes of graphs (9,13)
- E63: Find Second Derivative (17,19)
- E64: Given formula for f, determine concavity (33,35,37,87,89)
- E65: Graphing (45,49,57,77)

- E66: Identifying Absolute Extrema on Graph (9,17)
- E67: Closed Interval Method (26,67)
- E68: Finding Absolute Extrema on Open Interval (43,49,51,53)
- E69: Second Derivative Test (35,37,73,75)

- E70: Single Variable Maximizing Revenue (19,25,27)
- E71: Two Variable Abstract Max Min Problems (9,13,15,17)
- E72: Two Variable Applied Max Min Fence Problems (33,34,35,36)

- E73: Rewrite function as sum of const × x^p (1,3,5)
- E74: Is one function antiderivative of another? (25,27,28,29,31,33,34,35,36,37,38)
- E75: Graphs of antiderivatives of a function (39,41)
- E76: Basic Indefinite Integrals (9,11,13,17,19,21,23)
- E77: Rewrite integrand then integrate (43,45,47,49,51,53)
- E78: Find particular antiderivative satisfying extra condition (55,61)

- E79: Review of Chain Rule Derivatives (3,5,7)
- E80: Is one function an antiderivative of another? (51,52,53,55,56,57)
- E81: Basic Substitution Integrals: Power Function Outer Function and No Leftover Constant (11,15,17,19)
- E82: Harder Substitution Integrals: Leftover Constants and General Outer Functions (23,27,29,31,33,41,65,67)
- E83: Application of Substitution Integrals to Total Change Problems (81,85)

- E84: Approximating areas with Sums (7,13,15,17,19,23,61,73)
- E85: Using Properties of Definite Integral (33,41,45,49,51,53)
- E86: Conceptual Problems (55,56)
- Section 5.5 The Fundamental Theorem of Calculus
- E87: Basic Definite Integrals (11,13,15,17,19,21,23,25,27,31)
- E88: Harder Definite Integrals (35,36,38,39,41,45)
- E89: Total Change Problems (69,71,89)
- E90: Average Value of a Function Over an Interval (49,51,55,92)

- E91: Area between curve and x-axis (9,11,17,21,23,25,57)
- E92: Area between two curves (3,5,37,47,53,55,63)
- E93: Applications of the Area Between Two Curves (83,85,89)
- Section 6.2 Applications in Business and Economics
- E94: Total Income from a Continuous Income Stream (37,39,41,43)
- E95: Future Value of Continuous Income Stream (9,13,45,47,49,51,53,67)
- E96: Consumers' Surplus; Consumers' Surplus (69,71,73,75,77)

**Homework Assignments: **

There are ten written homework assignments. They are to be turned in at the beginning of the class meeting on the dates shown in the calendar above. The problems for each of the homework assignments are printed on a *Homework Cover Sheet*. Your homework must be stapled with a *Homework Cover Sheet* on front. To see the cover sheets, click the links below:

**Homework 1:**Due Fri Jan 18 Cover Sheet**Homework 2:**Due Fri Jan 25 Cover Sheet**Homework 3:**Due Mon Feb 4 Cover Sheet**Homework 4:**Due Mon Feb 18 Cover Sheet**Homework 5:**Due Mon Feb 25 Cover Sheet**Homework 6:**Due Fri Mar 8 Cover Sheet**Homework 7:**Due Fri Mar 22 Cover Sheet**Homework 8:**Due Fri Apr 5 Cover Sheet**Homework 9:**Due Fri Apr 12Cover Sheet**Homework 10:**Due Wed Apr 24 Cover Sheet

**Attendance Policy: **

Attendance is required for all lectures and exams, and will be recorded using sign-in sheets.

**Missing Class: **If you miss a class for any reason, it is your responsibility to copy someone's notes or download my notes from the course web page, and study them. I will not use office hours to teach topics discussed in class to students who were absent.

**Missing a Quiz or Exam Because of Illness: **If you are too sick to take a quiz or exam, then you must

- send me an e-mail before the quiz/exam, telling me that you are going to miss it because of illness, then
- then go to the Hudson Student Health Center.
- Later, you will need to bring me documentation from Hudson showing that you were treated there.

**Missing Quizzes or Exams Because of University Activity: **If you have a University Activity that conflicts with one of our quizzes or exams, you must contact me before the quiz or exam to discuss arrangements for a make-up. I will need to see documentation of your activity. If you miss a quiz or an exam because of a University Activity without notifying me in advance, you will not be given a make-up.

**Missing Quizzes or Exams Because of Personal Travel Plans: **Seven of our ten quizzes and three of our four in-class exams are on Fridays. We have a quiz on the Tuesday before Thanksgiving Break. Please don't bother asking me if you can make up a quiz or exam, or take it early, because your ride home is leaving earlier in the day, or because you already bought a plane ticket with an early departure time in order to lengthen your weekend or your Thanksgiving Break. The answer is, *No you may not have a make-up or take the quiz or exam early. You will just have to change your travel plans or forfeit that quiz or exam.*

**Policy on Cheating: **

If cheat on a quiz or exam, you will receive a zero on that quiz or exam and I will submit a report to the Office of Community Standards and Student Responsibility (OCSSR).

If you cheat on another quiz or exam, you will receive a grade of F in the course and I will again submit a report to the OCSSR.

**Calculators and Free Online Math Resources: **

**Calculators:**

Calculators will not be allowed on quizzes or exams.

**Websites with Useful Math Resources: **

In lectures, I often use a computer for graphing and calculating. The computer tools that I use are free online resources that are easily accessible at the following link.

Link to Free Online Math Resources

I use the same online resources in my office, instead of a calculator. You are encouraged to use these same free resources at home, instead of a calculator.

**Student Resources: **
Link to Info about Tutoring and Supplemental Instruction (SI)

page maintained by Mark Barsamian, last updated April 16, 2019