# Calculus and Linear Algebra for Commerce

This course provides applications of mathematics and includes selected topics from consumer math and algebra. Some types included are integers, percent, interest, ratio, and proportion, metrics system, probability, linear equations, and problem solving. This is a terminal course designed for students seeking an AAS Degree or Certificate and is not intended to transfer.

## 00 - Pilot

Course Number : CLA-C
Level: Intermediate

Course Features :
Lecture Notes, Assignment, Assignment: Programming, Exam, Projects, and Examples

Course Description :
This course provides applications of mathematics and includes selected topics from consumer math and algebra. Some types included are integers, percent, interest, ratio and proportion, metrics system, probability, linear equations, and problem-solving. this is a terminal course designed for students seeking an AAS degree or Certificate and is not intended to transfer, and does not meet the general core requirements for mathematics.

Course Meeting Times :
Twice a week under appointment

Pre-requisite :
Intermediate Algebra

Course Recommended Text :
Introductory Mathematical Analysis, 12th Edition, by Haeussler, Paul, and Wood

Calculators :
The only calculators allowed for use during the term tests and final exam are TI-30X, TI-30XIIB, or TI-30XIIS

There will be two-term tests, held during the regular lecture times. Each term test will be 2 hours.
There will be no make-up tests. The instructor will adjust the marking scheme properly for students who have missed a test because of illness or any other (approved) legitimate reason.
The final exam of the course will take place during the examination period in August, and will be 2 hours long. It will cover all of the material presented in lectures, tutorials, and problem sets.
Learner final grade will be computed in the following way:
20% Problem Sets + 20% 1st Term Test + 20% 2nd Term Test + 40% Final Exam

Topic :

1. Compound interest

2. Present value

3. Interest compounded continuously

4. Annuities

5. Amortization of Loans

6. Matrices

7. Matrix Addition and Scalar Multiplication

8. Matrix Multiplication

9. Solving Systems by Reducing Matrices

10. Inverses

11. Leontief's Input-Output Analysis

12. Linear Inequalities in Two Variables

13. Linear Programming

14. Multiple Optimum Solutions

15. Limits

16. Continuity

17. The Derivative

18. Rules of Differentiation

19. The Derivative as a Rate of Change

20. Product and Quotient Rule

21. The Chain Rule and the Power Rule

22. Derivatives of Logarithmic Functions

23. Derivatives of Exponential Functions

24. Elasticity of Demand

25. Implicit Differentiation

26. Logarithmic Differentiation

27. Newton's Method

28. Higher-Order Derivatives

29. Relative Extrema

30. Absolute Extrema on a Closed Interval

31. Concavity

32. The 2nd Derivative Test

33. Asymptotes

34. Applied Maxima and Minima

35. The Indefinite Integral

36. Integration with Initial Condition

37. More integration formulas

38. Techniques of Integration

39. The Definite Integral

40. The Fundamental Theorem of Integral Calculus

41. Area

42. Area between Curves

43. Consumer's and Producer's Surplus

44. Integration by Parts

45. Integration by Partial Fractions

46. Integration by Tables

47. Average Value of a Function

48. Differential Equations

49. Improper Integrals

50. Functions of Several Variables

51. Partial Derivatives

52. Application of Partial Derivatives

53. Higher-Order Partial Derivatives

54. Chain Rule

55. Max and Min for Functions of Two Variables

56. Lagrange Multipliers

Problem Sets :
There will be Nine Problem sets, due almost every week. Problem sets will be posted on the website at least a week before the due date. You are encouraged to work on questions from the assignment with your fellow students. However, the writing of your assignment must be done without anybody's assistance.
Your Problem set mark will be determined by eliminating the worst problem set (provided that you handed in all of them), and computing the average mark of the remaining problem sets.

Notes :
Homework problems and other important material will be posted on the web-course, so you should check it regularly. The learner will also be able to see your marks for the problem sets and the term tests online. Some important information may be sent by email, so you should also check your email regularly.
The learner should become familiar with and are expected to adhere to the Code of Behavior on Academic Matters.