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MAT 1360 - Trigonometry and Analytic Geometry
4 credit hours

MAT 1360 is a preparation for calculus. Topics include: trigonometric functions; analytic trigonometry; applications of trigonometry in right triangles, oblique triangles, vectors, complex numbers, polar coordinates, and parametric equations; conic sections; and analytic geometry in 3-dimensions. (Replaces MAT 132, MAT 133, MAT 142 and MAT 136.)
Prerequisite: A score at least 80 on Accuplacer College-Level Mathematics (CP4) or a “C” or higher in MAT 1350 [formerly MAT 135]. Although MAT 1340 [formerly MAT 134] is no longer a prerequisite for MAT 1360, it is strongly recommended that students with weak skills in geometry and trigonometry complete MAT 1340 with a grade of “C” or higher before attempting MAT 1360. Student must have graphing calculator.

Books:

Outcomes:
Upon successful completion of the course, each student should be able to demonstrate the ability to use symbolic, numerical, and visual skills to find and verify solutions of algebra and trigonometry problems and applications (of college-level difficulty) in the following areas:

1. Performing operations with and simplifying:

• Algebraic expressions involving real and complex numbers, including complex numbers in trigonometric form.
• Trigonometric functions, including related composite and inverse functions.
• Vector expressions in two- and three-dimensions.

2. Solving:

• Trigonometric equations.
• Trigonometric applications that involve right triangles, oblique triangles, and angular motion.
• Problems involving sequences, summation, mathematical induction, and the Binomial theorem.
• Applications of vectors in two- and three-dimensional space.

3. Graphing and analyzing:

• The six basic trigonometric functions (sine, cosine, tangent, cotangent, secant, and cosecant) and their inverses (including shrinking, stretching, and translating).
• The four basic conic sections (parabola, circle, ellipse, and hyperbola - including translating but not rotating).

4. Graphing equations in rectangular, parametric, and polar form, and converting equations from any one of these forms to any other form.

5. Evaluating trigonometric functions and their inverses in degree and radian modes:

• For any angle using a calculator (approximate).
• For all multiples of 30, 45, 60, and 90 degrees without a calculator (exact).

6. Applying and verifying:

• Trigonometric identities.
• Trigonometric sum, difference, multiple-angle, and half-angle formulas.
• DeMoivre's theorem.