Course Outline
Text: Single Variable Calculus – James Stewart – Fifth Edition (Brooks/Cole)
Instructor/Marker: Mr. Patrick Kaiser
pkaiser@scides.ca
PRE-CALCULUS FUNCTIONS & GRAPHS
Review of functions and straight lines
Analysis of Graphs
DIFFERENTIAL CALCULUS
Limits of functions (including one-sided limits)
Asymptotic and unbounded behaviour
Continuity as a property of functions
Concept of the derivative
Derivative at a point
Derivative as a function
Second derivatives
Applications of derivatives
Computation of derivatives
INTEGRAL CALCULUS
Riemann sums
Interpretations and properties of definite integrals
Applications of integrals
Fundamental Theorem of Calculus
Techniques of antidifferentiation
Applications of antidifferentiation
Numerical approximations to definite integrals
GRAPHING CALCULATOR
The provision of and the expertise to operate a graphing calculator is expected and is the responsibility of the student. The teacher/marker of this course is most familiar with the operation of the Texas Instrument family of calculators (TI-83, TI-83 plus, TI-84, TI-84 plus, & Silver Editions) and he would be happy to offer assistance. Support for any other make or model of graphing calculator will be available on a very limited basis.
EVALUATION
Grades will be determined by a combination of the following:
á 10 Module assignments – 50%
o Short assignments following each lesson and set of practice questions
á 5 Module quizzes – 10%
o All quizzes will be open book
á 5 Module tests – 40%
á Final exam will be optional
PHILOSOPHY OF THE COURSEAs the title indicates, this course will provide an introduction to many calculus topics. Students will be exposed to calculus concepts and the associated terminology with the intent of preparing them for success in their first-year college/university calculus course. The material will be presented at a slower pace for increased learning and understanding of the basic tools of calculus. This course will not cover everything that a first-year college/university calculus course does, meaning that there will be NO possibility for any Advance Placement potential. However, it is hoped that this course will fill a void in the learning plan of many students and enable them to better meet their educational goals. It has been demonstrated by past experience, and can be verified, that students who have taken a course such as this have met with success in their post-secondary calculus courses.