MCV 4U1 - COURSE OVERVIEW
2011-2012
Sect Per Topic Pg Assignment
UNIT 1 – INTRODUCTION TO CALCULUS
1 Slope of Secants (Average Rate of Change)
1 Slope of Tangents (Instantaneous Rate of Change)
1 The Definition of Derivative (First Principles)
1 Average Rate and Instantaneous Rate of Change (Slope of Secant and Slope of Tangent)
1 Graphs of Functions and their Derivatives
2 Review and Test
7
UNIT 2 – DERIVATIVES (Part I)
1 Power Rule
1 Sum and Difference Rule
2 Product Rule
2 Quotient Rule
2 Review and Test
8
UNIT 3 – DERIVATIVES (Part II)
2 Chain Rule
1 Higher Derivatives
2 Implicit Differentiation
1 Application of Rates of Change
2 Review and Test
8____________________________________________________________________________________
UNIT 4- DERIVATIVES OF OTHER FUNCTIONS
2 Derivatives of Trigonometric Functions (Primary Reciprocal Trig Functions)
2 Derivative of Exponential Function
2 Derivative of the Logarithmic Function
1 Logarithmic Differentiation
2 Review and Test
9
UNIT 5-RATES OF CHANGE AND OPTIMIZATION
1 Rates of Change
3 Related Rates
1 Maximum and Minimum Values
2 Maxima and Minima Problems
2 Review and Test
9
UNIT 6-VECTORS
1 Vector Concpts
1 Vector Laws
1 Algebraic Vectors
1 Dot Product
1 Cross Product
1 Applications of the Dot and Cross Products
2 Review and Test
8
UNIT 7-EQUATIONS OF LINES
1 Equations of Lines in a Plane
1 Equations of Lines in Space
1 Direction Numbers, Angles, and Cosines
1 Scalar of Equations of Lines
1 Intersections of Lines
1 Distance Between Lines
2 Review and Test
8
UNIT 8-EQUATIONS OF PLANES
1 Equations of Planes
1 Scalar Equations of Planes
1 Intersection of a Line and a Plane
1 Intersection of Two Planes
2 Intersection of Three Planes
2 Review and Test
FINAL EXAM (30%)
