Math 119 - Precalculus - Course Outline (Fall, 1998)

This is a tentative outline and will be updated at least 24 hours in advance before each class.

Week 1 | Week 2 | Week 3 | Week 4 | Week 5 | Week 6 | Week 7
Week 8 | Week 9 | Week 10 | Week 11 | Week 12 | Week 13 | Week 14 | Week 15


Date Section Topics
Sept 2 Graphs & graphing utilities (1.1) (a) graph of an equation
(b) x-intercept and y-intercept
(c) symmetry: x-axis, y-axis, origin
(d) circles
Sept 3 Linear equations (1.2) (a) definition of linear equation
(b) solving linear equations
(c) equations involving fractional expressions
Sept 4 Linear models (1.3) (a) verbal model -> mathematical model
(b) problem solving
Sept 7 Quadratic equations and quadratic formula (1.4) (a) definition
(b) types of solutions: discriminant
(c) methods: quadratic formula
(d) complex solutions
Sept 8 quadratic equations (1.4) (a) methods: factoring, extracting square roots, completing the square
(b) applications
Sept 9 Other types of equations (1.6) (a) polynomial equations: factoring
(b) equation involving fractions: LCD
(c) equation involving radicals
Sept 10 Linear inequalities (1.7) (a) notation and properties
(b) inequalities involving absolute value
Sept 11 Slope of lines (2.1) (a) slope and equation of a line
(b) the slope and y-intercept form
(c) the point-slope form
Sept 14 Functions (2.2) (a) definition
(b) domain of a function
(c) function evaluation
Sept 15 Graphs of functions (2.3) (a) domain and range of a function from its graph
(b) vertical line test
(c) graphing
Sept 16 Function algebra (2.4) (a) shifting, reflecting, and stretching
(b) operations: +,-,x,/
(c) composition
Sept 17 Inverse functions and graphs (2.5) (a) definition
(b) graphs of f(x) and f -1(x)
(c) horizontal line test
Sept 18 Inverse functions and graphs (2.5) deriving inverse functions algebraically
Sept 21 Review sections: 1.1-1.7, 2.1-2.4
Sept 22 The first hour exam  
Sept 23 Quadratic functions (3.1) (a) definition and the standard form
(b) graph: vertex, x-intercept and y-intercept
Sept 24 Quadratic functions (3.1) and Polynomials (3.2) (a) applications in optimization
(b) polynomial functions of high order
(c) graph: zeros, x-intercept and y-intercept, end behaviors
Sept 25 Polynomials (3.2) more on graph: zeros, x-intercept and y-intercept, end behaviors
Sept 28 Long division and factoring (3.3) (a) long division and division algorithm
(b) synthetic division
(c) the reminder and factor theorem
Sept 29 Rational functions and asymptotes (4.1) (a) definition
(b) zeros
(c) vertical asymptotes
Sept 30 Rational functions and Graphs (4.1) & (4.2) (a) horizontal asymptotes
(b) graphs of rational functions
Oct 1 More on Graphs (4.2) (a) slant asymptote
(b) more on graphs of rational functions
Oct 2 Applications of rational functions applications
Oct 5 Review exponents and radicals (P.2) (a) properties and simplifying expressions
(b) rewrite radicals in rational exponents
Oct 6 Exponential functions and their graphs (5.1) (a) definition of exponential functions
(b) graphs of y=ax and y=ex
Oct 7 Review sections: 2.4-2.5, 3.1-3.3, 4.1-4.2
Oct 8 The second hour exam  
Oct 9 Exponential functions and their graphs (5.1) properties of exponential functions
Oct 12 Logarithmic functions and their graphs (5.2) (a) definition of logarithmic functions
(b) graphs of logarithmic functions
Oct 13 Logarithmic functions and their graphs (5.2) (a) more on graphs of logarithmic functions
(b) some properties of logarithmic functions
Oct 14 Properties of exponential functions (5.3) properties
Oct 15 Properties of logarithmic functions (5.3) properties
Oct 16 Exponential and logarithmic equations (5.4) (a) review properties
(b) solving equations
Oct 19 Exponential and logarithmic equations (5.4) solving equations
Oct 20 Applications (5.5) applications
Oct 21 Angles and their measure (6.1) (a) angles
(b) degree measure, radian measure and relation
Oct 22 Right triangles trigonometry (6.2) (a) 6 trig. functions
(b) 5 special angles
(c) identities
Oct 23 Right triangles trigonometry (6.2) applications
Oct 26 Review sections: 5.1-5.4, 6.1
Oct 27 The third hour exam
Oct 28 Trigonometric functions (6.3) (a) 6 trig. function
(b) reference angle
(c) evaluating trig. functions
Oct 29 Trigonometric functions (6.3) applications
Oct 30 Graphs of Sine and Cosine functions (6.4) (a) angles on real line
(b) sine and cosine functions
(c) amplitude and period
Nov 2 Graphing other trigonometric functions (6.5) graphs of tangent and cotangent
Nov 3 Election Day - No Classes &
Mar 18 Inverse trigonometric functions (6.6) (a) definition
(b) inverses of sine and cosine
Mar 19 Inverse trigonometric functions (6.6) inverse of tangent
Mar 20 Inverse trigonometric functions (6.6) inverse of tangent
Mar 23-27 Sprint Break!  
Mar 30 Review inverse of trigonometric functions (6.6)
Mar 31 Review sections: (6.1)-(6.7)
Apr 1 Review sections: (6.1)-(6.7)
Apr 2 The fourth hour exam
Apr 3 Applications (6.7) applications
Apr 6 Trigonometric identities (7.1) (a) fundamental identities
(b) uses of identities
(c) simplifying expression using identities
Apr 7 Trigonometric identities (7.1) (a) fundamental identities
(b) uses of identities
(c) trig. substitution
Apr 8 Verifying trigonometric identities (7.2) (a) identities
(b) verifying
Apr 9 Verifying trigonometric identities (7.2) (a) identities
(b) verifying
Apr 10 Trigonometric equations (7.3) solving equations
Apr 13 Trigonometric equations (7.3) solving equations
Apr 14 Sum and difference formulas (7.4) (a) formulas
(b) applications
Apr 15 Sum and difference formulas (7.4) (a) formulas
(b) applications
Apr 16 Multiple and half-angle formulas (7.5) (a) half angle formulas
(b) double angle formulas
Apr 17 multiple and half-angle formulas (7.5) (a) power-reducing formulas
(b) product to sum formulas
Apr 20 Review sections: 6.7, 7.1-7.5
Apr 21 The fifth hour exam
Apr 22 Law of Sines (8.1) (a) formulas
(b) applications
Apr 23 Law of cosines (8.2) (a) formulas
(b) applications
Apr 24 Review  
Apr 27 Review  
Apr 28 Review  
Apr 30 Final Exam - 1:00pm - 4:00pm  

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