Math 114 - Algebra and Trigonometry
- Prerequisites: Intermediate math competence (usually 3 units HS math) and suitable placement scores, or Math 101.
- Frequency: Fall (I), Winter (II)
- Student Body: Not recommended for students with less than an AB in Math 100 or 101.
- Credits: 5. Students may not receive credit for both Math 112 and 114, nor for both 113 and 114. (q-E)
- Recent Texts: Precalculus, 3rd ed. (Stewart, Redlin, and Watson)
- Course Coordinator: Arnold Johnson
- Background and Goals: Math 114 is a course on the mathematical fundamentals required for success in calculus. If you are not planning to take calculus (Math 211 or Math 221) probably you do not want to be in this course. For most, if not all, of you this course will look like a review of the algebra and trigonometry that you took in high school but (according to your placement scores) did not learn well enough to move directly into our fast-paced calculus courses. You should not be lulled into thinking that you know it all and can just coast in the course. We will be covering the topics on a deeper level than you have encountered before, and we will have higher expectations for your grasp of the material and your ability to reason with it clearly and efficiently.
- Alternatives: a student wishing to take Math 221 after Math 114 can choose the sequence Math 171-217. Math 112 and Math 113 are together equivalent to Math 114.
- Subsequent Courses: Calculus courses Math 211 or Math 221.
Content coverage:
- Basic algebraic material
- Applications, inequalities, geometry
- Lines, Functions, and Graphs
- Transformations
- Extreme values
- Composition of functions
- Polynomial functions
- Complex numbers
- Rational exponents
- Exponential and log functions, and applications
- Trig functions and graphs
- Angles
- Right triangles
- Law of sines, law of cosines
- Trig identities and formulas
- Inverse functions
- Trig equations
- Trig and complex numbers; equations
- Parabolas, ellipses, hyperbolas
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