Detailed Schedule -- Calculus 2

Revised Detailed Schedule -- Calculus 2 to end of semester

Fall 2016, Prof. Little

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

Date Class Topic Reading (Rogawski/Adams)

8/31 Course Intro -- Areas 5.1
9/2 Areas and Riemann sums 5.1
9/5 Riemann sums and the definite integral 5.2
9/6 More on the definite integral 5.2
9/7 Indefinite integrals (antiderivatives) 5.3
9/9 The Fundamental Theorem, ``Part II'' -- Problem Set 1 due 5.5
9/12 The Fundamental Theorem of Calculus, ``Part I'' 5.4
9/13 Net change 5.4-6
9/14 Integrals by substitution 5.7
9/16 More on substitution -- Problem Set 2 due 5.8
9/19 Lab Day 1 -- growth and decay 5.9
9/20 Exponential growth and decay 5.9
9/21 Spare day -- Review for Exam I
9/23 Exam I
9/26 Area between curves 6.1
9/27 Setting up integrals (average value, density, volume) 6.2
9/28 More on setting up integral formulas 6.2
9/30 Volumes of revolution (by slices) -- Problem Set 3 due 6.3
10/3 Integration by parts 7.1
10/4 Trigonometric integrals 7.2
10/5 Trigonometric substitutions 7.3
10/7 More on trig substitutions -- Problem Set 4 due 7.3
10/10,11,12,14 No class -- Spring break
10/17 Trigonometric substitutions 7.3
10/18 Trigonometric substitutions 7.3
10/19 Partial fractions 7.4
10/21 Partial fractions -- Problem Set 5 due 7.4
10/24 Improper integrals 7.7
10/25 Applications to probability 7.8
10/26 Spare day -- Review for Exam II
10/28 Exam II
10/31 More on applications to probability 7.8
11/1 Numerical integration 7.9
11/2 Lab Day 2 -- Project on numerical integration
11/4 Lab Day 2 -- continued -- Problem Set 6 due
11/7 Separable differential equations 9.1
11/8 Differential equations as models 9.2
11/9 Graphical and numerical methods 9.3
11/11 Logistic models of growth -- Problem Set 7 due 9.4
11/14 Lab Day 3 -- Logistic models of growth 9.4
11/15 First order linear equations 9.5
11/16 Lab Day 3 -- continued 9.4
11/18 Sequences -- Problem Set 8 due 10.1
11/21 Convergence of series 10.2
11/22 More on convergence 10.3
11/23, 25 No Class -- Thanksgiving break
11/28 Alternating series, absolute convergence 10.4
11/29 The ratio test 10.5
11/30 Spare day -- Review for Exam III
12/2 Exam III
12/5 CEFs, more on convergence 10.3
12/6 Alternating series, absolute convergence 10.4
12/7 Ratio Test and Power Series 10.5, 10.6
12/9 Taylor series -- Problem Set 9 due 10.7

The final exam for this course will be given 11:30am - 2:00pm on Tuesday, December 13.

Last modified: December 1, 2016

Date	Class Topic	Reading (Rogawski/Adams)

8/31	Course Intro -- Areas	5.1
9/2	Areas and Riemann sums	5.1
9/5	Riemann sums and the definite integral	5.2
9/6	More on the definite integral	5.2
9/7	Indefinite integrals (antiderivatives)	5.3
9/9	The Fundamental Theorem, ``Part II'' -- Problem Set 1 due	5.5
9/12	The Fundamental Theorem of Calculus, ``Part I''	5.4
9/13	Net change	5.4-6
9/14	Integrals by substitution	5.7
9/16	More on substitution -- Problem Set 2 due	5.8
9/19	Lab Day 1 -- growth and decay	5.9
9/20	Exponential growth and decay	5.9
9/21	Spare day -- Review for Exam I
9/23	Exam I
9/26	Area between curves	6.1
9/27	Setting up integrals (average value, density, volume)	6.2
9/28	More on setting up integral formulas	6.2
9/30	Volumes of revolution (by slices) -- Problem Set 3 due	6.3
10/3	Integration by parts	7.1
10/4	Trigonometric integrals	7.2
10/5	Trigonometric substitutions	7.3
10/7	More on trig substitutions -- Problem Set 4 due	7.3
10/10,11,12,14	No class -- Spring break
10/17	Trigonometric substitutions	7.3
10/18	Trigonometric substitutions	7.3
10/19	Partial fractions	7.4
10/21	Partial fractions -- Problem Set 5 due	7.4
10/24	Improper integrals	7.7
10/25	Applications to probability	7.8
10/26	Spare day -- Review for Exam II
10/28	Exam II
10/31	More on applications to probability	7.8
11/1	Numerical integration	7.9
11/2	Lab Day 2 -- Project on numerical integration
11/4	Lab Day 2 -- continued -- Problem Set 6 due
11/7	Separable differential equations	9.1
11/8	Differential equations as models	9.2
11/9	Graphical and numerical methods	9.3
11/11	Logistic models of growth -- Problem Set 7 due	9.4
11/14	Lab Day 3 -- Logistic models of growth	9.4
11/15	First order linear equations	9.5
11/16	Lab Day 3 -- continued	9.4
11/18	Sequences -- Problem Set 8 due	10.1
11/21	Convergence of series	10.2
11/22	More on convergence	10.3
11/23, 25	No Class -- Thanksgiving break
11/28	Alternating series, absolute convergence	10.4
11/29	The ratio test	10.5
11/30	Spare day -- Review for Exam III
12/2	Exam III
12/5	CEFs, more on convergence	10.3
12/6	Alternating series, absolute convergence	10.4
12/7	Ratio Test and Power Series	10.5, 10.6
12/9	Taylor series -- Problem Set 9 due	10.7