Math 115 Homework

Note:  Extra Credit problems should be turned in on a separate sheet of paper.  Show all of your work, and include complete explanations.

Homework 1
Due Friday, August 29
1.1 Functions and Change 1,4,5,8,11,15,16,17,18,19,26,27,31
1.2 Exponential Functions 5,6,9,10,11,14,18,19,38

Homework 2
Due Monday, September 8
1.3 New Functions From Old 1,3,4,5,6,15,21,25,26,27
1.4 Logarithmic Functions 1,2,3,6,17,24,25

Homework 3
Due Friday, September 12
1.4 Logarithmic Functions 28
1.5 The Trigonometric Functions 1,2,3,4,10,11,13,14,15,17,18,19,26

Homework 4
Due Wednesday, September 17
1.6 Powers, Polynomials, and Rational Functions 1,3,4,5,6,11,12 
1.8 Limits 1,2,3,10,11,14,19,21

Exam 1 Thursday, September 18

Homework 5
Due Monday, September 22
 1.7 Introduction to Continuity 2,3,4,6,7,17
2.1 How Do We Measure Speed? 1,2,3,6,9,10

Homework 6
Due Friday, September 26
2.2 The Derivative at a Point 1,2,3,7,8,12,14,16

Homework 7
Due Monday, September 29
2.3 The Derivative Function 1,2,3,4,8,13,17,18
2.4 Interpretations of the Derivative 1,2,3,10,11


Exam 2 Thursday, October 2

Homework 8
Due Monday, October 6
2.5 The Second Derivative 1,2,3,4,5,6,7,10,11,15   Extra Credit: 22 (see notes on E.C. above) 
2.6 Continuity and Differentiability 1,2,3,4,5,10
3.1 Powers and Polynomials 1,2,3,5,6,8,12,13,17,23,27,43  Extra Credit: 56

Homework 9
Due Friday, October 10
3.2 The Exponential Function 1,2,4,10,21,31,32  Extra Credit: 42,43 (see notes on E.C. above)
3.3 The Product and Quotient Rules 1,2,3,4,6,11,14,15,31,32,33,35,36,45,51

Homework 10
Due Monday, October 13
3.4 The Chain Rule 1,2,4,7,8,14,19,22,24,25,33,34,35,37,43,53
3.5 The Trigonometric Functions  2,3,5,6,9,12,19,20,31,33,42

Homework 11
Due Monday, October 20
3.6 The Chain Rule and Inverse Functions 1,3,4,8,14,23,24,32
3.7 Implicit Functions  1,2,4,5,10,12,13,18,24

Exam 3 Thursday, October 23

Homework 12
Due Monday, October 27
3.9 Linear Approximation and The Derivative 1,2,3,5,10
3.10 Theorems  About Differentiable Functions 2,3,4,5,6,7,8,9

Homework 13
Due Friday, October 31
4.1 Using First and Second Derivatives 1,2,3,4,5,6,7,10,23,24 
4.2 Families of Curves 1,2,3,4,5,6,8,13

Homework 14
Due Wednesday, November 5
4.3 Optimization 1,2,3,4,7,9,13,14 
Extra Credit: 4.3 #5*  (see notes on E.C. above)
 * Your book says to give an approximate answer, but I would like you to find an exact answer.

Homework 15
Due Friday, November 7
4.4 Applications to Marginality  1,2,4,5,6,7
4.5 Optimization and Modeling 1,4,6,7,8
Extra Credit: 4.5 #20,21  (see notes on E.C. above)

Homework 16
Due Monday, November 17
4.6 Rates and Related Rates 4,6,8
4.7 L'Hopital's Rule 5,6,9,10,11,13,17,26,27,28

Exam 4 Thursday, November 13

Homework 17
Due Friday, November 21
4.8 Parametric Equations 5,6,7,11,14,17,18,20
5.1 How Do We Measure Distance Travelled? 1,2,3,6
5.2 The Definite Integral  1,2,3,4

Homework 19
Due Friday, December 5
5.3 The Fundamental Theorem and Interpretations  1,4,5,6,7,10,11,12
5.4 Theorems About Definite Integrals 3,4,6,9,10,11,12
6.1 Antiderivatives Graphically and Numerically 1,2,3,4,5,7,8,9,10,11

Homework 21
Due Monday, Decnember 8
6.2 Constructing Antiderivatives Analytically 1,2,3,8,10,11,16,17,22,27,34,39,42,47,61,64