113 - Trigonometry
Prerequisites:
Advanced math competence -- algebra and suitable placement scores, or Math 112.
Frequency:
Fall (I), Winter (II), Summer (SS)
Student Body:
Math 113 is meant for those students who plan to take any calculus course needing trigonometry.
Credits:
2. Students may not receive credit for both Math 113 and 114. (E) Recent Texts:
"Trigonometry" by J.D. Baley and G. Sarell, McGraw Hill, revised 3rd edition
Course Coordinator:
Xianghong Gong Background and Goals:
This course covers the graphs, properties and geometric significance of trigonometric functions of a real variable. Other topics include trigonometric equations and identities, applications, trigonometric form of complex numbers and DeMoivre's theorem.
Alternatives:
Math 112 and Math 113 are both covered by Math 114.
Subsequent Courses:
After Math 112 and Math 113 a student can enroll in Math 171, Math 211 or Math 221. Course Content:
- Degrees and radians.
- Arc length and sector area.
- Similar triangles.
- Trig ratios and right triangles.
- Special angles.
- Right triangles and applications.
- Standard position; quadrants.
- Trig functions; fundamental identities.
- Inverse trig functions.
- Laws of sines and cosines.
- Double- and half-angle identities.
- Basic graphs and graphing.
- Graphs of A sin x, A cos x, M sin Bt + N cos Bt
- Trig equations
- Vectors: sums, differences, and complements. Dot products.
- Polar coordinates; complex numbers; nth roots.