MATH 1322 - Elementary Applied Mathematics II

• 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.