Santa Monica College
Mathematics Department Addendum
Math 29 – Calculus II for Business and Social Science
Prerequisite Comparison Sheet – exit skills of Math 28 and entry skills for Math 29
Exit Skills for Math 28
Upon successful completion of Math 28, the student will be able to:
A.
Define business terms
B.
Use algebraic skills to solve business, economics and social science problems.
C.
Solve finance problems
D.
Find the limit of functions
E.
Find derivatives of functions and express their answers in simplest factored form
F.
Use derivatives to solve problems in business, economics and social sciences
G.
Use concepts of derivatives (as well as domain, intercepts and asymptotes, etc.) to graph
functions.
H.
Use derivatives to solve optimization problems
I.
Find antiderivatives of functions
J.
Use the techniques of integration to solve basic area problems, as well as problems in
business, economics and social science
Entry Skills for Math 29
Prior to enrolling in Math 29 students should be able to:
1.
Define business terms
2.
Use algebraic skills to solve business, economics and social science problems.
3.
Solve finance problems
4.
Find the limit of functions
5.
Find derivatives of functions and express their answers in simplest factored form
6.
Use derivatives to solve problems in business, economics and social sciences
7.
Use concepts of derivatives (as well as domain, intercepts and asymptotes, etc.) to graph
functions.
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8.
Use derivatives to solve optimization problems
9.
Find antiderivatives of functions
10. Use the techniques of integration to solve basic area problems, as well as problems in
business, economics and social science
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Santa Monica College
Student Learning Outcomes
Date: December 1, 2008
Course Name and Number:
Math 29 Calculus II for Business and Social Science
Student Learning Outcome(s):
 Individual faculty members will develop and reports on assessments for SLOs.
1.
Given a real-valued function of two or more variables, students will use appropriate
techniques to differentiate and/or integrate the function and interpret the results.
2.
Given the description of a practical situation such as related rates, differential approximation,
compound interest, supply and demand, cost, revenue/profit maximization, productivity, or
exponential growth/decay, students will define a function that models the situation and
analyze this function to obtain relevant information.
3.
Given a probability density function, students will determine its expected value, standard
deviation variance and probability of a specific occurrence.
Demonstrate how this course supports/maps to at least one program and one institutional
learning outcome. Please include all that apply:
1.
Program Outcome(s):
The student will demonstrate an appreciation and understanding of mathematics in order to
develop creative and logical solutions to various abstract and practical problems.
As a result of learning about more advanced mathematical functions, students will analyze
and solve abstract and practical problems.
2.
Institutional Outcome(s):
As a result of studying instructor feedback given during lecture, or written on homework and
exams, students will evaluate information critically and present solutions in a clear and
logical manner.
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Textbook: Barnett, Ziegler & Byleen, Applied Calculus for Business, Economics, Life Sciences and Social
Sciences, 11th ed., 2008 ,Pearson
A Sample Schedule for Math 29
This schedule assumes a standard meeting schedule of I hr 5 min with 4 class meetings per week.
Session
1
2
3
4
5
6-1
6-2
6-5
7-2
7-3
7-4
Text Section/Activity
Antiderivatives and Indefinite Integral
Integration by Substitution
Definite Integral as a Limit of a Sum; Fundamental Theorem of Calculus
Application in Business and Economics
Integration by Parts
Integration Using Tables
APPENDIX E
5.9 Numerical Integration
6
7
8
9
10
11
12
13
14
15
16
17
18
APPENDIX E
5.9 Numerical Integration
Review
Exam #1
8-1 Functions of Several Variables
8-2 Partial Derivatives
8-2 Partial Derivatives
8-3 Maxima and Minima
8-3 Maxima and Minima
8-4 Maxima and Minima Using Lagrange Multipliers
8-5 Method of Least Square
Total Differentials (to be offered as a supplement)
8-6 Double Integrals over Rectangular Regions
8-7 Double Integrals over More General Regions
Review
APPENDIX F
19
20
1-1 Basic Concepts (of differential equations)
Exam #2
1-1 Basic Concepts
6-3 Differentiation Equations; Growth and Decay
1-2 Separation of Variables
1-3 First-Order Linear Differential Equations
21
22
23
APPENDIX G
24
25
26
27
28
29
3-1 Improper Integrals
3-2 Continuous Random Variables
3-3 Expected Value, Standard Deviation, and Median
3-4 Special Probability Distributions
Review
Exam #3
Final Review