Jan 31, 2023
MATH 1322 - Elementary Applied Mathematics II
A rigorous course in trigonometry and analytic geometry including right angle trigonometry, trigonometric functions and their graphs, inverse trigonometric functions, trigonometric identities and equations and introductions to vectors, polar coordinates and conic sections. Intended to prepare students for MATH 2301 Calculus I. Students cannot earn credit for both MATH 1300 and MATH 1322 (first course taken deducted)..
Requisites: C or better in (MATH 1200 or 1321) or Math placement level 2 or higher and WARNING: No credit for both this course and MATH 1300 (first course taken deducted)
Credit Hours: 3
General Education Code: 1M
Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.
Lecture/Lab Hours: 3.0 lecture
Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I
Course Transferability: OTM Course: TMM002 Pre-Calculus, OTM Course: TMM003 Trigonometry
College Credit Plus: Level 1
- Analyze the algebraic structure and graph of trigonometric and inverse trigonometric functions to determine whether the function is one-one, exhibits any symmetry (even/odd), etc.
- Analyze the algebraic structure and graph of trigonometric and inverse trigonometric functions to determine intercepts, domain, range, intervals on which the function is increasing, decreasing or constant, asymptotes,
- Angles/Triangles. Express angles in both degree and radian measure.
- Convert points and equations between rectangular and polar form.
- Identify and express the conics (quadratic equations in two variables) in standard rectangular form, graph the conics, and solve applied problems involving conics.
- Perform basic vector operations both graphically and algebraically addition, subtraction, and scalar multiplication.
- Perform transformations of trigonometric and inverse trigonometric functions translations, reflections and stretching and shrinking (amplitude, period and phase shift).
- Represent trigonometric and inverse trigonometric functions verbally, numerically, graphically and algebraically; define the six trigonometric functions in terms of right triangles and the unit circle.
- Represent vectors graphically in both rectangular and polar coordinates and understand the conceptual and notational difference between a vector and a point in the plane.
- Solve a variety of trigonometric and inverse trigonometric equations, including those requiring the use of the fundamental trigonometric identities, in degrees and radians for both special and non-special angles.
- Solve application problems that involve trignometric equations.
- Solve application problems using vectors.
- Solve right and oblique triangles in degrees and radians for both special and non-special angles, and solve application problems that involve right and oblique triangles.
- Use trigonometric and inverse trigonometric functions to model a variety of real-world problem-solving applications.
- Verify trigonometric identities by algebraically manipulating trigonometric expressions using fundamental trigonometric identities, including the Pythagorean, sum and difference of angles, double-angle and half-angle identities.
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