MATH 142

CALCULUS I

MON/WED 11:00-11:50, TU/TH 11:00-12:20

Syllabus

 

HOMEWORK ASSIGNMENTS/QUIZZES/EXAMS

DATE

Homework 1: chapter 1 (review problems)

Tuesday, Jan. 26

Homework 2: chapter 2.1, 2.2, 2.3

Wednesday, Feb. 3

Homework 3: chapter 2.4, 2.5

Tuesday, Feb. 9

Exam 1: chapter 2.1-2.6

Thursday, Feb. 11

Homework 4: chapter 2.7, 3.1, 3.2

Thursday, Feb. 25

QUIZ 1: chapter 3.2, 3.3, 3.4

Thursday, Feb. 25

Homework 5: chapter 3.3, 3.4

Wednesday, March 3

Homework 6: chapter 3.5, 3.6

Thursday, March 11

EXAM 2: chapter 2.7 and chapter 3.1-3.8

(NOTE: EXAM 2 will not include parametric equations, this topic will be included on EXAM 3)

Thursday, March 11

Homework 7:

3.5 (parametric equations only problems 81-107),

3.9, 3.10, 4.1

Tuesday, March 30

QUIZ 2: 4.3 and 4.4

Monday, April 5

Homework 8: 4.2, 4.3, 4.4, 4.5

Thursday, April 8

Exam 3: chapter 3.5 (parametric equations), 3.9,  3.10, 4.1, 4.2, 4.3, 4.4, 4.5

Thursday, April 8

Homework 8: 4.6, 4.8, 5.1

Tuesday, April 20

Homework 9: 5.2 and 5.3

Thursday, April 29

EXAM 4: 4.6, 4.8, 5.1, 5.2, 5.3

Thursday, April 29

Homework 10: 5.4 and 5.5

Will not to be collected but similar problems will be on final exam

FINAL EXAM: Comprehensive (including 5.4 and 5.5)

Wednesday, May 12, 11:00-1:00

 

Practice Exam 1, Practice Exam 2, Practice Exam 3, Practice Exam 4

Solutions Exam 1,  Solutions Exam 2, Solutions Exam 3, Solutions Exam 4

NOTE: for solutions to any problems that involve graphs, you will need to speak with me directly or seek assistance.

 

Homework List (Thomas' Calculus Early Transcendentals)

 

SECTION

PROBLEMS

1.1 Functions and Their Graphs

1,3,5,7,9,17,23,37

1.2 Identifying Functions; Mathematical Models

1,3,7,9,15

1.3 Combining Functions; Shifting and Scaling Graphs

1,3,5,7,15,17

1.5 Exponential Functions

1,5,9,13,17,21

1.6 Inverse Functions and Logarithms

1,3,5,19,23,27,29,39,41,45,59

2.1 Rates of Change and Limits

1,2,3,4,5,6,7,8,11,14,17,22,25,28,29,30,32,33

2.2 Calculating Limits Using Limit Laws

3,6,9,12,15,18,21,24,27,30,33,38,39,42,45,48,51,54

2.3 The Precise Definition of a Limit

3,6,9,12,15,18,21,31,34,37,40

2.4 One-Sided Limits and Limits at Infinity

1,4,7,12,15,18,21,24,27,30,33,36,39,42,45,51,54,57,58

2.5 Infinite Limits and Vertical Asymptotes

3,6,9,12,14,15,18,20,21,23,24,41,42,52

2.6 Continuity

1,2,3,4,5,11,12,13,16,19,22,25,28,29,30,32,33,46,47,52

2.7 Tangents and Derivatives

5,8,11,15,18,21,24

3.1 The Derivative as a Function

3,6,9,12,15,18,20,23,27,28,29,30,31,39,42

3.2 Differentiation Rules for Polynomials, Exponentials, Products, Quotients

3,6,9,12,15,18,21,24,27,30,33,39,42

3.3 The Derivative as a Rate of Change

1,2,3,4,5,6, 25, 28

3.4 Derivatives of Trigonometric Functions

3,6,9,12,15,18,21,24,39,42,47

3.5 The Chain Rule

1,4,7,10,13,16,19,22,25,28,31,34,37,40,43,46,49,

52,55,67,70,73

3.6 Implicit Differentiation

3,6,9,12,17,19,21,23,25,27,29,31,33,35,45,47,53,55

3.7 Derivatives of Inverse Functions and Logarithms

1,4,13,16,19,22,25,28,31,34,37,39,42,45,51,57,60,69,

72,75,78,81,85

3.8 Inverse Trigonometric Functions

3,9,49,51,53,55,57,59,61,63

3.9 Related Rates

1,3,7,9,11,13,15,21,23,25

3.5 Parametric Equations

81,82,83,84,85,86,87,88,89,91,101,102,103,104,105,107

3.10 Differentials

19,22,25,28,31

4.1 Extreme Values of Functions

11,12,13,14,17,20,23,26,29,31,33,36

4.2 The Mean Value Theorem

1,2,3,4,5,6

4.3 Monotonic Functions and First Derivative Test

1,4,7,10,13,16,19,22,25,30,31

4.4 Concavity and Curve Sketching

3,6,12,18,21,27,35,38

4.5 Applied Optimization Problems

1,4,5,7,9,11,14

4.6 Indeterminate Forms and LHopital's Rule

3,6,12,15,18,21,24,27,30,33,42,45,48,51,54

4.8 Antiderivatives

26,29,32,35,38,41,44,47,50,53,56,59,62,65,68,91,94,97,100

5.1 Estimating with Finite Sums

1,2,3,4

5.2 Sigma Notation and Limits of Finite Sums

1,4,7,13,16,18,21,22,23,24,29,35

5.3 The Definite Integral

9,11,13,15,17,18,19,21,55,57,59

(for 55,57,59 use fundamental theorem of calculus to evaluate the integral)

5.4 The Fundamental Theorem of Calculus

1,3,5,7,9,11,13,15,17,19,21,23,27,29,35,37,39,41,43,45,51,53,55

OMIT: 35,37,39,43,45

5.5 Indefinite Integrals and the Substitution Rule

13,15,17,21,23,25,27,31,35,39