MAT1318B - Functions


Instructor: Charles Starling

Office: 585 King Edward, Room 306

Phone: 562-5800 extension 3507.

email: cstar050@uottawa.ca.

Office Hours: TBA

Course Outline

Practice Midterms and Practice Finals have been posted.

Midterm 3 has been postponed until Friday.

Course Notes
Date Section Suggested Exercises Assignments
Tuesday January 5
The real numbers (1.1) Section 1.1: 23,25,35,41,45,53,57,65
Friday January 8
Exponents and Radicals (1.2)
Algebraic Expressions (1.3)
Section 1.2: 27,49,61,85
Section 1.3: 7,15,27,55,71.
Tuesday January 12
Rational Expressions (1.4)
Equations and Inequalities (1.5)
Section 1.4: 7,9,31,13.
Section 1.5: 1,45,47,75,95.
Friday January 15
More of 1.5
-
Assignment 1
Due Jan 19
Solutions
Tuesday January 19
The Coordinate Plane (1.7)
What is a Function? (2.1)
Graphs of Functions (2.2)
Section 1.7: 11,37,45,47,59.
Section 2.1: 11,13,23,37,41,43,45,47,51,57.
Section 2.2: 1,5,7,25,37,57.
Friday January 22
Increasing/Decreasing Functions (2.3)
Transformations of Functions (2.4)
Quadratic Functions (2.5)
Section 2.3: 1,5,6,11,17,23,61,65.
Section 2.4: 1,5,19,41.
Section 2.5: 5-43 odd
Assignment 2
Due Jan 26
Solutions
Tuesday January 26
Combining Functions (2.7)
Function Inverses (2.8)
Section 2.7: 1,3,5,7,9,11,17,19,23,29,35.
Section 2.8: 1,3,7,11,17,23,47,65.
Friday January 29 Polynomials (3.1)
Dividing Polynomials (3.2)
Rational Functions (3.3)
Section 3.1: 1,5-10,11,23,37,43,55,75.
Section 3.2: 1,11,23,25.
Tuesday February 2
Midterm 1 Solutions
Friday February 5 More of 3.3
-
Tuesday February 9
Exponential Functions (4.1)
Logarithmic Functions (4.2)
Section 4.1: 5,11,19,24,47,49.
Section 4.2: 1,3,7,11,15,27.
Friday February 12
Laws of Logarithms (4.3)
Exponential and Logarithmic Equations (4.4)
Section 4.3: 1,3,15,33
Section 4.4: 1,3,5,13,15,35,37,47,55,63.
Assignment 3
Due Feb 23
Solutions
Tuesday February 16
Study Break
Friday February 19
Study Break
Tuesday February 23
Modelling with Exponents and Logs (4.5) Section 4.5: 1,3,5,15,17,19,21
Friday February 26The Unit Circle (5.1)Section 5.1: 1,13,19,21,33,35.
Tuesday March 2
Midterm 2 Solutions
Friday March 5
Trigonometric Functions (5.2)Section 5.2: 1,3,23,36
Tuesday March 9
Trigonometric Graphs (5.3 + 5.4)Section 5.3: 1,3,15,19,27,35,43,65,69,73.
Section 5.4: 1-7,17,21,43.
Assignment 4
Due Mar 19
Solutions
Friday March 12
Modelling Harmonic Motion (5.5)
Angle Measures (6.1)
Trigonometry of Right Triangles (6.2)
Trigonometric Functions of an Angular Variable (6.3)
Section 5.5: 1,7,13,33
Section 6.1: 1,3,13,33,51.
Section 6.2: 1,9,13,29,41
Section 6.3: 1,7,15,33,37,43
Tuesday March 16
Trigonometric Identities (7.1)
Addition and Subtraction Formulas (7.2)
Section 7.1: 1,13,21,37,53,61,65.
Section 7.2: 1,7,19,27,35
Friday March 19
More Trig Formulas (7.3) Section 7.3: 1,3,11,23,29. Assignment 5
Due Mar 30
Solutions
Tuesday March 23
Inverse Trigonometric Functions (7.4) Section 7.4: 1,3,13,21,39.
Friday March 26 Trigonometric Equations (7.5) Section 7.5: 1,3,7,41,57.
Tuesday March 30Introduction to LimitsLimits, Continuity, The Derivative
Tuesday April 2
Easter - No class
Tuesday April 6
Midterm 3 Solutions
Formula sheet
Friday April 9
General Review