### Detailed Schedule -- Calculus with Fundamentals 1, section 1

Note: All information on this page is still under development and subject to change.

### Fall 2017, Prof. Little

This is a tentative, evolving schedule. Topics may be added, deleted, or rearranged during the course of the semester. Any major changes will be announced in class and here.

Date Class TopicSection in Rogawski and Adams
8/30 Course introduction 1.1
8/31 The real numbers, absolute values, intervals 1.1
9/1 Pre-calculus topics review 1.1
9/4 Functions and graphs 1.1
9/5 Linear functions 1.2
9/6 Quadratic functions; completing the square 1.2
9/7 Combinations of functions via arithmetic operations 1.3
9/8 Quiz 1; compositions of functions Problem Set 1 due 1.3
9/11 Piecewise functions 1.3
9/12 Review of trigonometry 1.4
9/13 Trigonometric functions 1.4
9/14 Inverse functions 1.5
9/15 Quiz 2; more on inverse functions; Problem Set 2 due 1.5
9/18 Exponential functions 1.6
9/19 Logarithm functions 1.6
9/20 More on logarithms and exponentials 1.6
9/21 Review for Exam 1 Sections 1.1 - 1.6
9/22 Exam 1 Chapter 1
9/25 Begin limits 2.1
9/26 More on limits 2.2
9/27 Limit laws 2.2, 2.3
9/28 More on the limit laws 2.3
9/29 Quiz 3; Continuity; Problem Set 3 due 2.4
10/2 Computing limits with algebra 2.5
10/3 More algebraic limits 2.5
10/4 Trigonometric limits 2.6
10/5 Limits at infinity 2.7
10/6 Quiz 4; Intermediate Value Theorem; Problem Set 4 due 2.8
10/9,10,11,12,13 No Class -- Fall Break
10/16 Definition of the derivative 3.1
10/17 More on derivatives 3.1
10/18 The derivative as a function 3.2
10/19 Review for Exam 2 Chapter 2
10/20 Exam 2 Chapter 2
10/23 More on the derivative as a function 3.2
10/24 Differentiability 3.2
10/25 Product rule 3.3
10/26 Quotient rule 3.3
10/27 Quiz 5; Rates of change Problem Set 5 due 3.4
10/30 Derivative Practice 3.3 and 3.4
10/31 Higher derivatives 3.5
11/1 Trigonometric function derivatives 3.6
11/2 Chain rule for derivatives 3.7
11/3 Quiz 6; More on the chain rule Problem Set 6 due 3.6
11/6 Implicit differentiation 3.8
11/7 More on the chain rule and implicit differentiation 3.7,3.8
11/8 Derivatives of inverse functions (logarithms, inverse trig functions) 3.8,3.9
11/9 Review for Exam 3
11/10 Exam 3 3.1-3.7
11/13 Spare day -- (derivative practice?) 3.8, 3.9
11/14 Related rates problems 3.10
11/15 More on related rates 3.10
11/16 More on related rates 3.10
11/17 Quiz 7; Theory of extreme values Problem Set 7 due 4.2
11/20 Extreme values 4.2
11/21 Mean Value Theorem and consequences 4.3
11/22,23,24 No Class -- Thanksgiving Break
11/27 Shape of a graph 4.4
11/28 Curve sketching and asymptotes 4.6
11/29 Optimization problems 4.7
11/30 More on optimization 4.7
12/1 Quiz 8; More on optimization; Problem Set 8 due 4.7
12/4 L'Hopital's rule and limits 4.6
12/5 Spare day -- (Newton's Method?)
12/6 Review for Exam 4 3.8-3.10, 4.1-4.7
12/7 Exam 4 3.8-3.10, 4.1-4.7
12/8 Semester wrap-up

The final exam for this course will be given at 11:30am on Friday, December 15.