Detailed Schedule -- MATH 133 Calculus with Fundamentals 1, Section 1

Detailed Schedule -- Calculus with Fundamentals 1, section 1

Fall 2015, 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 Topic Section in Rogawski and Adams

9/3 Course introduction 1.1
9/4 The real numbers, absolute value, intervals 1.1
9/7 Functions and graphs 1.1
9/8 Linear functions 1.2
9/10 Quiz 1; quadratic functions, completing the square; Problem Set 1 due 1.2
9/11 New functions via arithmetic operations, composition 1.3
9/14 Piecewise functions 1.3
9/15 Trigonometric functions 1.4
9/17 Quiz 2; inverse functions; Problem Set 2 due 1.5
9/18 Exponential functions 1.6
9/21 Logarithms 1.6
9/22 Review for Exam 1 Sections 1.1 - 1.6
9/24 Exam 1 Chapter 1
9/25 Begin limits 2.1
9/28 More on limits 2.2
9/29 Limit laws 2.2, 2.3
10/1 Quiz 3; Continuity; Problem Set 3 due 2.4
10/2 Computing limits with algebra 2.5
10/5 More algebraic limits 2.5
10/6 Trigonometric limits 2.6
10/8 Quiz 4; Limits at infinity; Problem Set 4 due 2.7
10/9 Spare day 2.8
10/12, 13, 15, 16 No Class -- Fall Break
10/19 Definition of the derivative 3.1
10/20 More on derivatives 3.1
10/22 Exam 2 Chapter 2
10/23 The derivative as a function 3.2
10/26 More on derivative functions 3.2
10/27 Differentiability 3.2
10/29 Quiz 5; Product rule; Problem Set 5 due 3.3
10/30 Quotient rule 3.3
11/2 Derivative Practice 3.3 and 3.4
11/3 Higher derivatives 3.5
11/5 Quiz 6; Trigonometric function derivatives Problem Set 6 due 3.6
11/6 The chain rule 3.7
11/9 More on the chain rule and implicit differentiation 3.7,3.8
11/10 Derivatives of inverse functions (logarithms, inverse trig functions) 3.8,3.9
11/12 Exam 3 3.1-3.7
11/13 Spare day (finish up derivatives of inverse functions) 3.8
11/16 Related rates problems 3.10
11/17 More on related rates 3.10
11/19 Quiz 7; Theory of extreme values Problem Set 7 due 4.2
11/20 Extreme values 4.2
11/23 Mean Value Theorem and consequences 4.3
11/24 Shape of a graph 4.4
11/26, 27 No Class -- Thanksgiving Break
11/30 Curve sketching and asymptotes 4.6
12/1 Optimization problems 4.7
12/3 Quiz 8; Optimization; Problem Set 8 due 4.7
12/4 Conclude optimization 4.7
12/7 L'Hopital's rule and limits 4.5
12/8 Newton's method 4.8
12/10 Exam 4 3.9-3.10, 4.1-4.7
12/11 Semester wrap-up

Date	Class Topic	Section in Rogawski and Adams

9/3	Course introduction	1.1
9/4	The real numbers, absolute value, intervals	1.1
9/7	Functions and graphs	1.1
9/8	Linear functions	1.2
9/10	Quiz 1; quadratic functions, completing the square; Problem Set 1 due	1.2
9/11	New functions via arithmetic operations, composition	1.3
9/14	Piecewise functions	1.3
9/15	Trigonometric functions	1.4
9/17	Quiz 2; inverse functions; Problem Set 2 due	1.5
9/18	Exponential functions	1.6
9/21	Logarithms	1.6
9/22	Review for Exam 1	Sections 1.1 - 1.6
9/24	Exam 1	Chapter 1
9/25	Begin limits	2.1
9/28	More on limits	2.2
9/29	Limit laws	2.2, 2.3
10/1	Quiz 3; Continuity; Problem Set 3 due	2.4
10/2	Computing limits with algebra	2.5
10/5	More algebraic limits	2.5
10/6	Trigonometric limits	2.6
10/8	Quiz 4; Limits at infinity; Problem Set 4 due	2.7
10/9	Spare day	2.8
10/12, 13, 15, 16	No Class -- Fall Break
10/19	Definition of the derivative	3.1
10/20	More on derivatives	3.1
10/22	Exam 2	Chapter 2
10/23	The derivative as a function	3.2
10/26	More on derivative functions	3.2
10/27	Differentiability	3.2
10/29	Quiz 5; Product rule; Problem Set 5 due	3.3
10/30	Quotient rule	3.3
11/2	Derivative Practice	3.3 and 3.4
11/3	Higher derivatives	3.5
11/5	Quiz 6; Trigonometric function derivatives Problem Set 6 due	3.6
11/6	The chain rule	3.7
11/9	More on the chain rule and implicit differentiation	3.7,3.8
11/10	Derivatives of inverse functions (logarithms, inverse trig functions)	3.8,3.9
11/12	Exam 3	3.1-3.7
11/13	Spare day (finish up derivatives of inverse functions)	3.8
11/16	Related rates problems	3.10
11/17	More on related rates	3.10
11/19	Quiz 7; Theory of extreme values Problem Set 7 due	4.2
11/20	Extreme values	4.2
11/23	Mean Value Theorem and consequences	4.3
11/24	Shape of a graph	4.4
11/26, 27	No Class -- Thanksgiving Break
11/30	Curve sketching and asymptotes	4.6
12/1	Optimization problems	4.7
12/3	Quiz 8; Optimization; Problem Set 8 due	4.7
12/4	Conclude optimization	4.7
12/7	L'Hopital's rule and limits	4.5
12/8	Newton's method	4.8
12/10	Exam 4	3.9-3.10, 4.1-4.7
12/11	Semester wrap-up

The final exam for this course will be given at 11:30 on Tuesday, December 15, in Swords 321 (our Monday, Friday classroom)

Last modified: November 12, 2015