Detailed Schedule -- Calculus for Physical and Life Sciences, 2

Spring 2008, Prof. Little

This is an 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 TopicReading (Stewart)
1/16 Areas and distances (review) 5.1
1/18 The definite integral 5.2
1/21 No class -- Martin Luther King Day 5.3
1/22 The evaluation theorem for integrals 5.3
1/23 Integrals and net change 5.3
1/25 The Fundamental Theorem of Calculus 5.4
1/28 More on the Fundamental Theorem 5.4
1/29 Integrals by substitution 5.5
1/30 More on substitution 5.5
2/1 Integration by parts 5.6
2/4 More integrals by parts 5.6
2/5 Trigonometric integrals 5.7
2/6 Trigonometric substitutions 5.7
2/8 Integration by partial fractions 5.7
2/11 Tables of integrals 5.8
2/12 Approximate integration -- midpoint and trapezoidal rules 5.9
2/13 Lab 1: Approximate integration -- Simpson's rule 5.9
2/15 Improper integrals 5.10
2/18 Areas between curves 6.1
2/19 Review for Exam 1
2/20 Volumes by slicing 6.2
Exam I given 6:00 - 7:30pm, location TBA
2/22 More on volumes by slicing 6.2
2/25 Arc length of curves 6.3
2/26 Average value of functions 6.4
2/27 Applications to probability 6.7
2/29 More probability applications 6.7
3/3,4,5,7 No class -- Spring break
3/10 Modeling with differential equations 7.1
3/11 Direction fields 7.2
3/12 Lab 2: Slope fields and Euler's Method 7.2
3/14 Separable equations 7.3
3/17 Exponential growth and decay 7.4
3/18 More on exponential growth and decay 7.4
3/19 Logistic models of growth 7.5
3/21,24 No Class -- Easter break
3/25 Review for Exam 2
3/26 Lab 3: Logistic models of population growth 7.5
Exam II given 6:00 - 7:30pm, location TBA
3/28 Lab 3: continued 7.5
3/31 Sequences of numbers 8.1
4/1 Infinite series 8.2
4/2 More on convergence of series 8.2
4/4 Integral test for convergence 8.3
4/7 Comparison tests 8.3
4/8 Alternating series, absolute convergence 8.4
4/9 The ratio test 8.4
4/11 Power series, radius of convergence 8.5
4/14 Spare day 8.5
4/15 Representing functions by power series 8.6
4/16 Taylor and Maclaurin series 8.7
4/18 Lab 4: Visualizing convergence of Taylor series 8.7
4/21 The binomial series 8.8
4/22 Review for Exam 3
4/23 Taylor's Theorem and approximations 8.9
Exam III given 6:00 - 7:30pm, location TBA
4/25 Further applications of Taylor series 8.9
4/28 Spare day
4/29 Course wrap-up

The final exam for this course will be given at 2:30 p.m. on Thursday, May 8.

Last modified: December 31, 2007