Trigonometry and Analytical Geometry completes the MATH 107–108 sequence — trigonometric functions, identities, conic sections, and vector operations.
What MATH 108 covers
(The second course in the two-course series MATH 107–MATH 108. An alternative to MATH 115.) Prerequisite: MATH 107. An introduction to trigonometric functions, identities, and equations and their applications.
The goal is to demonstrate fluency in the language of trigonometry, analytic geometry, and selected mathematical topics; communicate mathematical ideas appropriately; apply and prove trigonometric identities; solve triangles and trigonometric equations; and perform vector operations. Discussion covers analytical geometry and conic sections, systems of linear equations, matrices, sequences, and series.
Typical MATH 108 assignments
Expect a problem set requiring you to prove a trigonometric identity, solve a triangle or trigonometric equation, and perform vector operations.
Key topics in MATH 108
- Trigonometric functions and identities
- Analytical geometry and conic sections
- Vector operations
- Systems of linear equations and matrices
Writing tips for MATH 108
Follow the assignment instructions and rubric line by line
UMGC assignments for MATH 108 are graded against a specific rubric or grading criteria your instructor provides — every requirement has to be visibly addressed. Skipping a requirement because it seems minor is one of the most common reasons a strong submission loses points.
Show every step of your work, not just the final answer
MATH 108 is graded on the method, not just the final numeric answer — skipping intermediate algebraic or calculus steps is one of the fastest ways to lose points, even when the final answer is correct.
Interpret the result in context, not just symbolically
Applied problems in MATH 108 typically ask you to translate a real-world scenario into an equation and then interpret the solution back in that scenario's terms — solving the equation correctly but skipping the contextual interpretation is a common way to lose points.
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Why students seek help with MATH 108
Students sometimes verify a trigonometric identity numerically for a single case instead of proving it algebraically for all cases, which MATH 108 specifically requires — the rubric typically wants the general algebraic proof, not a single numeric check.
How GradeEssays helps with MATH 108
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MATH 108 requires MATH 107, is an alternative to MATH 115, and (alongside MATH 115) is itself a required prerequisite for MATH 140. Note: students may receive credit for only one of MATH 108 or MATH 115.
Related courses
Frequently asked questions
MATH 108 requires MATH 107, and is itself (alongside MATH 115) a required prerequisite for MATH 140 (Calculus I).
They serve the same purpose of reaching MATH 140, but students may receive credit for only one of MATH 108 or MATH 115.