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
Grading Policy :
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 :
Compound interest
Present value
Interest compounded continuously
Annuities
Amortization of Loans
Matrices
Matrix Addition and Scalar Multiplication
Matrix Multiplication
Solving Systems by Reducing Matrices
Inverses
Leontief's Input-Output Analysis
Linear Inequalities in Two Variables
Linear Programming
Multiple Optimum Solutions
Limits
Continuity
The Derivative
Rules of Differentiation
The Derivative as a Rate of Change
Product and Quotient Rule
The Chain Rule and the Power Rule
Derivatives of Logarithmic Functions
Derivatives of Exponential Functions
Elasticity of Demand
Implicit Differentiation
Logarithmic Differentiation
Newton's Method
Higher-Order Derivatives
Relative Extrema
Absolute Extrema on a Closed Interval
Concavity
The 2nd Derivative Test
Asymptotes
Applied Maxima and Minima
The Indefinite Integral
Integration with Initial Condition
More integration formulas
Techniques of Integration
The Definite Integral
The Fundamental Theorem of Integral Calculus
Area
Area between Curves
Consumer's and Producer's Surplus
Integration by Parts
Integration by Partial Fractions
Integration by Tables
Average Value of a Function
Differential Equations
Improper Integrals
Functions of Several Variables
Partial Derivatives
Application of Partial Derivatives
Higher-Order Partial Derivatives
Chain Rule
Max and Min for Functions of Two Variables
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.