Calculus for Business

OPMT 5701

:: Home ::

COURSE SYLLABUS

SCHEDULE:

Week	Lecture Topics	Instructor Notes (PDF)	Textbook	Review Questions
0	Introduction		Ch 1 - 3	1.5 : pg 94-95 #2, #4, #6, #7 2.1* : pg 144 #3, #4 2.2 : pg 156 #6, #7; *2.2 : pg #1 2.3 : pg 177 #2, #4 2.4 :** pg 191 #2, #4
1	Matrix Algebra I	Matrix Algebra	7.1, 7.2
2	Matrix Algebra II		7.3, 7.4

	One Variable calculus (Chapter 4)	Part 1, Part 2, Part 3		Excludes Elasticity section

3	Power Function, Sum/Difference rules	Derivatives: First 5 Rules	4.1, 4.2	4.2 pg 282-283 #1, #2, #3, #8 4.2*: pg 284 #1, #2
4	Product, Quotient rules, Chain Rule,	The Chain Rule	4.4	4.4: pg 307 #1, #2, #3, #6 4.4*: pg 308 #1, #2, #3, #6
	Marginal Functions		4.3	4.3: pg 297 #3, #4, #5 4.3* pg 298 #1, #3, #4, #5, #6
5	Concavity, Curve Sketching, 2nd Derivative	Concavity, 2nd derivatives and One Variable Optimization	4.2	4.2: pg 282-283 #4, #5, #6 4.2*: pg 284 #3, #4, #5, #6
5	One Variable Optimization		4.6, 4.7	4.6* page 344 Questions 5,6,7
6	Natural logarithm and e Intro to Differentials	Natural Log and e (with optimal timing) Differentials and Implicit differentiation notes	4.8 and Lecture Notes	4.8 page 366 Questions 4, 5, 6, 7, 8, 9
7	Partial Derivatives & differentials	Partial Derivatives More on differentials	5.1
8	Midterm Exam Week
9	Implicit Differentiation, Level Curves	Partial Derivative and Implicit Function Theorem	5.2 and Lecture Notes
10	Two Variable Optimization	Two Variable Optimization Two Variable Optimization with Economic Applications	5.3
11	Constrained Optimization Part I	Constrained Optimization Examples and Applications of Lagrange	5.5 and Lecture Notes
12	Constrained Optimization Part II (Kuhn-Tucker)	Lagrange with multiple constraints (Kuhn-Tucker)	5.6 and Lecture Notes
13	Additional topics	Application of Utility max: Hicks versus Marshall Notes on Utility Maximization
14	Catchup and Review