# Math 2134

## Course Description

(As of 5/23/2021)

Students will be introduced to basic concepts of differential and integral calculus. This course is intended for students planning to major in business, or the behavioral, social, or biological sciences.

## Topical Outline

(As of 5/23/2021)

Functions

•  Power and exponential functions
•  Polynomial functions
•  Rational functions and asymptotes
•  Natural logarithms
•  Graphing

Differential calculus

• Limits and continuity
• Derivative process
• Derivative rules for products and quotients
• The chain rule
• Higher order derivatives
• Maxima and minima of functions of one variable
• Functions of more than one variable
• Maxima and minima for functions of more than one variable
• Maxima and minima using Lagrange multipliers
• Applications from business, biology, and other areas

Integral calculus

•  Anti-derivatives including substitution and parts
•  Area and the definite integral
•  Fundamental theorem of calculus
•  Improper integrals
•  Numerical integration (optional)
•  Applications

For Mr. McCabe's session

### In the classroom:

1. Take note of anything you find difficult. If there was an explanation during class that made something click be sure to highlight the explanation by writing it out and using a highlighter. If you need me to explain it again so you can write it down ask again or talk to Mr. McCabe after class or during office hours.
2. Most sessions with have a polling activity, log into the prescribed session prior to class on your smartphone, tablet, or laptop. If you don't have any of these devices or they are not charged enough try to let me know before class.

### One hour after the class session:

1. Complete a couple problems from the different homework assessments. This will help students remember and retain the content covered in class.
2. Review notes and highlight things that no longer make sense or things that did make sense but now don't. These parts should be asked for clarification at the beginning of the next session.

### The night of the class session:

1. Attempt to complete the entire homework set.
2. Highlight problems that are difficult.
3. Highlight problems that are easy, and try to explain why they are easy.

### The weekend

1. Hopefully, majority of all the homework sets are complete.
2. If all the homework sets are not complete, then complete every homework set.
3. Identify 2 easy problems and 2 hard problems, these questions will be used to make a practice exam later.

### Exams

1. With your created questions, attempt to put yourself in a test taking environment and test yourself on the questions.
2. If you are having difficultly succeeding with your practice exam schedule a meeting with Mr. McCabe.
3. Mr. McCabe's exams are assessed based on understanding not getting the correct answer, practice presenting your work in such a way it instructs peers on how to do a problem. Practice can be done by completing the Turn-In's.