MATH 1450 Algebra and Trigonometry
This course combines the content in
MATH 1400 and
MATH 1405. It emphasizes aspects of algebra and trigonometry which are important in the study of calculus as well as functions and their applications to real world problems. Topics include polynomial, exponential, logarithmic and trigonometric functions and their inverses. Functions are evaluated and analyzed graphically, numerically, and algebraically. Graphing calculators are required both in class and with homework assignments. Students earning credit in
MATH 1450 may not earn credit in
MATH 1400 or 1405. Prerequisite: Completion of MATH 930 or test into
MATH 1400 or higher. (5 lect.) MATH
Major Topics
- Use a graphing utility to construct and interpret models
- Solve linear inequalities and polynomial, rational, piecewise-defined, exponential and logarithmic equations
- Evaluate and analyze functions graphically, numerically, and algebraically
- Apply exponential and logarithmic properties to evaluate and manipulate expressions and equations
- Evaluate and analyze trigonometric functions graphically, numerically, and algebraically
- Use Identities to simplify and solve trigonometric equations
- Use vectors to describe position and magnitude
- Linear Models, Systems of Equations, Matrices and Determinants, Sequences, Probability and Statistics (as time allows), and Conics may be covered as time allows
Outcomes
In order to successfully complete this course, the student will:
1. Demonstrate the use of Graphing Tools
2. Analyze Linear Equations and Inequalities
3. Analyze Functions and their Graphs
4. Analyze Polynomial and Rational Functions
5. Analyze Exponential and Logarithmic Functions
6. Analyze Trigonometric Functions and their graphs
7. Solve a variety of real-world problems using mathematical approaches and discuss the historical and cultural significance of algebra and trigonometry in society
Other Information
Any information placed here must be adhered to by all instructors:
Common course exams are in effect for this course including on-campus, online, off-campus, and concurrent enrollment sections. These exams are used for program assessment and are the finals for MATH 1400 and 1405. Contact the math department for a copy of the exams and practice materials. Individual instructors are responsible for creating chapter tests and quizzes according to individual preference.
Contact the math department to find out the current text book and graphing calculator in use. Because of common course exams, courses must use the same text (with edition exceptions).