Math 156: Calculus for Business and Social sciences

Syllabus

Tuesday Thursday
Jan 29 Introduction to calculus concepts: Limits and lines.
HW: 1.3 # 17, 23, 27, 31, 57, 59, 63, 65, 75, 77, 79, 81, 85
Jan 31 Intro to derivatives
HW: 3.4 # 1, 9, 13, 25, 27
3.5 # 1, 5, 7, 9, 11, 17, 19, 23, 25, 27,43, 47, 77
Feb 5 Derivatives algebraically using limits
HW: 3.6 #15, 19, 21

Derivative formulas for polynomials and related functions
HW: 4.1#7, 8, 9, 10, 15, 16, 19, 20, 21, 23;
27, 28, 29, 31*, 32*; 35, 36, 37*, 39*;
47, 49, 50, 59*, 61*, 63*, 93
*Slow down and show work down on these ones

Feb 12 Derivative formulas for products and quotients:
4.2 # 1, 3, 10, 21
4.3 # 3, 5, 15, 21, 23, 35, 36, 37, 38, 39
Derivative formulas for compositions: the chain rule.
4.4 # 1-25 odd, 29, 31, 33, 35, 37, 39
Review practice problems, with solutions. These will not be collected. E-mail me if you find any errors.
Feb 19 Derivative formulas for exponents and logs
The section 4.5 homework will not be collected, but it is recommended as additional preparation for the exam Thursday.
4.5 # 5, 15, 19, 25, 45, 51, 53, 55, 47
Video solutions for hardreview problems #4, #5, #14,
More vids (just because): #1, #7, #8, #10, #11, #12, #13
exam 1
Feb 26 Maxima and minima
Review of product rule 4.5 # 17, 47, 49
5.1# 13, 15, 17, 21, 25 (show first derivative test for the local extrema)
Max and min applications
5.2 # 11, 13, 23, 24, 25, 27, 33, 73
Example of min average cost part 1 (set up, equations and 2 versions of algebra), part 2 (another version of algebra and the final answer)
A revenue-profit example intended to help with #23 and 24. Part 1, part 2
March 5 Second derivatives
5.3 # 1, 3, 5, 7, 9, 59, 63a,b
More practice with 5.1-5.3. Assignment
Class notes
Mar 12 The indefinite integral
6.1 # 7, 13, 15, 19, 21, 23, 29, 31, 41, 43, 47, 49, 51, 53 (note--I forgot to post this Tuesday, so while it is still assigned, I will accept it for full credit next week (19th)
Substitution
6.2 # 1, 5, 9, 11, 15, 17, 19, 21, 25, 31, 59 (shortcut optional), 71, 73, 77
Mar 19 More substitution
Review
exam 2
Mar 26  Spring Break
Apr 2 The definite integral, and numerical techniques
6.1 # 23, 25, 33
6.2 # 13, 19, 27
6.3 # 1, 3, 11, 13, 29
Fundamental Theorem of Calculus
6.4 # 3, 5, 7, 9, 13, 17, 19, 23, 29, 31, 33
Apr 9 Integral applications and area between curves
6.4 # 55, 63, 65
7.2 # 1, 3, 7, 9, 11, 15
Area between curves
7.2 # 17, 21, 27, 31, 33, 43, 45
7.3 # 1, 3, 5, 37, 39
Apr 16 Averages and applications
7.3 # 13, 15, 17, 49, 55 a, b
7.6 # 1, 3, 5
Exam delayed until next Tuesday
7.6 good practice problems # 11, 13, 15, 17
More practice problems for the test (with answers)
No homework will be collected on Tuesday.
Exam 3 Graphs and partial derivatives
8.1 # 1, 41-48
8.2 # 1-9 odd, 19-23 odd, 41, 45
Online 3D grapher
Apr 30 Maxima and minima of surfaces
8.3 # 11-19 odd
First set of review problems for final (not required to be turned in, but if complete they can earn you 4 extra points on this assn).

May 2: More Max and Min
8.3 # 21, 23, 27 (we did 27 in class)
Lots of review problems. Not required to be turned in, but if you complete them by tuesday, you can earn 5 extra credit points on this assignment.

May 7 Review of numerical methods
Homework.
Video of how to numerically estimate a derivative.

Exponential functions and review of applications
Things will appear a bit at a time
Practice with the (new) exponential functions of the form 3^x (5 problems)
Tangent line and area review problems
Applications review problems (cost, profit, etc)
Chapter 8 extra practice review problems

Final exam Tuesday May 14th 3:30-5:30 pm
I will be available in my office to answer questions Monday 11-3 and Tuesday 9-3.