Detailed Schedule -- Calculus 2

Spring 2020, 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
Section in Rogawski/Adams
1/21 Course Intro -- Areas and distances 5.1
1/22 Areas and distances 5.1
1/24 Riemann sums and the definite integral 5.2



1/27 Riemann sums and the definite integral 5.2
1/28 The indefinite integral 5.3
1/29 FTC, "part II" 5.5
1/31 The evaluation theorem for integrals (FTC, "part I") -- Problem Set 1 due 5.4



2/3 Net change equals integral of rate of change 5.6
2/4 Integrals by substitution 5.7
2/5 Substitution and additional transcendental functions 5.8
2/7 Integration by parts -- Problem Set 2 due 7.1



2/10 More integrals by parts 7.1
2/11 Trigonometric integrals 7.2
2/12 Trigonometric substitutions 7.3
2/14 More on trigonometric substitutions -- Problem Set 3 due 7.3



2/17 Partial fractions 7.5
2/18 More on partial fractions 7.5
2/19 Spare day -- Review for Exam I
2/21 Exam I Covers material on Problem Sets 1 - 3



2/24 Tables of integrals 7.6
2/25 Improper integrals 7.7
2/26 Approximate numeral integration--Midpoint and Trapezoidal rules 7.9
2/28 Lab 1: Approximate integration -- Simpson's rule -- Problem Set 4 due 7.9



3/2,3,4,6 No class -- Spring break



3/9 Areas between curves, average value 6.1 - 6.2
3/10 Volumes by slicing 6.2
3/11 Solids of revolution 6.3
3/13 Arc length of curves -- Problem Set 5 due 8.1



3/16 Applications to probability 7.8
3/17 More probability applications 7.8
3/18 Modeling with differential equations, separable equations 9.1
3/20 Exponential growth and decay -- Problem Set 6 due 5.9, 9.2



3/23 Direction fields 9.3
3/24 Lab 2: Slope fields and Euler's Method 9.3
3/25 Spare day -- Review for Exam II
3/27 Exam II Covers material from Problem Sets 4 - 6



3/30 Logistic models 9.4
3/31 Lab 3: Logistic models of population growth 9.4
4/1 Lab 3: continued 9.4
4/3 First order linear equations -- Problem Set 7 due 9.5



4/6 Sequences of numbers 10.1
4/7 Infinite series 10.2
4/8 Convergence of series with positive terms; integral test 10.3



4/10, 13 No Class -- Easter break



4/14 Comparison tests 10.3
4/15 Absolute and conditional convergence; alternating series 10.4
4/17 The ratio test -- Problem Set 8 due 10.5



4/20 Taylor polynomials 8.4
4/21 Power series, Taylor series 10.6-10.7
4/22 No Class -- Academic Conference
4/24 Lab 4: Visualizing convergence of Taylor series -- Problem Set 9 due 10.7



4/27 Applications of Taylor series 10.7
4/28 More applications of Taylor series 10.7
4/29 Spare day -- Review for Exam III
5/1 Exam III Covers material from Problem Sets 7 - 9



5/4 Course wrap-up



The final exam for this course will be given at the established time for MTWF 8:00am classes -- 3:00pm on Thursday, May 7.

Last modified: January 2, 2020