Mathematics 100

Course Outline

Length of Course: One Semester (14 weeks)
 
Classroom Hours Per Week: 4 hours lecture
 
Number of Credits: 3 credits
 
Prerequisites: BC High School Mathematics 11 or equivalent
 
Description of Course:
This course is designed for students, including those who may have completed BC High School Mathematics 12 or equivalent and need to improve their background in mathematics before attempting a calculus course.
An introductory college mathematics course designed to provide a strong background in algebra, trigonometry and analytical geometry as preparation for a calculus course.
 
Course Outline:
1) Review of Basic Algebra (2.5 weeks)
Real numbers, properties of real numbers, roots, integral exponents, polynomials, factoring, rational expressions, linear equations, systems of linear equations, complex numbers, operations on complex numbers, quadratic formula, inequalities, Cartesian coordinates, graphing simple equations, distance formula, equation of a circle.
 
2) Functions and Their Graphs (2 weeks)
Relations, domain and range of a relation, definition of a function, linear functions, graph of a linear function, parallel lines, perpendicular lines, techniques for graphing polynomials and rational functions, composition of functions, inverse functions.
 
3) Exponential and Logarithmic Functions (1.5 weeks)
Radicals, rational and real exponents, exponential functions, logarithmic functions, natural and common logarithms, solving exponential equations.
 
4) Trigonometry (5 weeks)
Right-angle trigonometry, radian measure, sine and cosine functions defined in terms of position on the unit circle, properties of sines and cosines, other trigonometric functions and their properties, graphing trigonometric functions, trigonometric identities, trigonometric equations, inverse trigonometric functions, law of sines, law of cosines, parametric equations, curves in polar coordinates.
 
5) Conic Sections (2 weeks)
Circles, ellipses, parabolas, hyperbolas, standard and general forms of the equations of conic sections, general second degree equation, techniques for graphing the equations of conics, eccentricity of conics.
 
Evaluation:
Quizzes and/or Assignments 10%
Three One-hour Tests 40%
Final exam 50%
 
Textbook:
Precalculus with Calculus Previews, Zill and Dewar, Jones and Bartle Publishers, 4 th Edition
 
Transferability:
SFU: Math 100(3)-Q
UBC: no credit
UVic: Math 120(1.5 units)
 
Instructors:
Kim Peu Chew, B.Sc. ( Nanjing), M.A., Ph.D. ( British Columbia)
Sam Ekambaram, B.Sc., M.Sc. ( Madras), M.Sc., Ph.D. (Simon Fraser)
Peter Hurthig, B.Sc., M.Sc. ( British Columbia)
David Medalen, B.A. (St. Olaf), M.Sc. ( British Columbia)