Calculus A & B

Course Description

This is the first in a two-course college sequence. Every topic is presented geometrically, numerically, and algebraically. The fundamental basis for the derivative and define integral is presented in depth to give the student a practical understanding of these concepts and the means to numerisally evaluate each. The student learns the Fundamental Theorem of Calculus, techniques of differentation, and using the derivative. (5 credits from Riverland Community College and 2 semester credits from Alden-Conger High School)

Course Content:

1. Review of Cartesian Plane and Functions
2. Review of Exponential Functions and Logarithms
3. Limits and Their Properties
4. Differentation
5. Applications of Differentation
6. Integration
7. Logarithmic, Exponential, and Other Transcendental Functions
8. Applications of Integration

College Algebra (MATH 1110)

Course Discription

Topics covered include a basic algebra review, linear equations and inequalities, functions, quadratic equations and functions, rational expressions, composition of functions, inverse relations, exponential functions, logarithmic functions, and systems of linear equations. Prerequisites: Algebra IIB & Geomatry B, or teacher approval ( 3 credits from Riverland Community College; 1 semester credit from Alden-Conger High School)

Course Content:

1. Basic Algebraic Operations
2. Factoring
3. Integer & Rational Exponents
4. Radicals
5. Equations and Inequalities
6. Complex Numbers
7. Graphs & Functions
8. Polynomial & Rational Functions
9. Exponenrial Functions
10. Logarithmic Functions
11. Systems of Linear Equations
12. Systems Involving Second-Degree Equations
13. Systems of Linear Inequalities
14. Linear Programming