Math 31E: General Course Outline
Catalog Description
    31E. Calculus for Economics Students. (4) Lecture, three hours; discussion, one hour. Requisite: course 31A with a grade of C- or better. Not open for credit to students with credit for course 3B, 3C, or 31B. Calculus for applications to economics. Partial differentiation, implicit functions, exponential and logarithmic functions, extrema, optimization, constrained optimization. P/NP or letter grading.
Textbook
    J. Stewart, Calculus, 5th Ed., Thomson Learning.
Comment
    The following schedule, with textbook sections and topics, is based on 24 lectures. The remaining classroom meetings are for leeway, reviews, and two midterm exams. These are scheduled by the individual instructor.
Schedule of Lectures

Lecture
Sections
Topics
1
4.8
Introduction, Applications to Economics (optional section)
2
6.1
Areas between curves
3
6.2
Volumes (omit volume of revolution)
4
6.5
Average value of a function
5
7.1
Inverse functions
6
7.2
Exponential functions
7
7.3
Logarithmic functions
8
7.4
Derivatives of logarithmic functions
9
10.4
Exponential growth and decay (optional section)
10
7.7
L'Hospital's Rule
11
8.1
Integration by parts
12
8.7
Approximate integration (midpoint rule only)
13
8.8
Improper integrals (type 1 only)
14
9.4
Applications to Economics (optional section)
15
13.1, 13.2
Three dimensional coordinate systems; Vectors
16
13.3
Dot product
17
13.5, 15.1
Equations of planes; Functions of several variables
18
15.3
Partial derivatives
19
15.4
Tangent planes (omit differentials)
20
15.5
Chain rule
21
15.6
Directional derivative, gradient
22
15.7
Maxima and minima
23
15.7
Continued
24
15.8
Lagrange multipliers

Comments

Outline update: R. Brown, 8/03
For more information, please contact Student Services, ugrad@math.ucla.edu.
 

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