Related Rates and Applications of the First
Derivative
Learning Objectives Module 5
Solve related rates problems: modeling and setting up equations, differentiating,
and solving for the unknown rate.
Find the critical points of a function.
Find the interv
Page 1 of 12
Brock University
Final Examination: December 2013
Course: Math 1P01
Date of Examination: December 16
Time of Examination: 12:00-15:00
NumberofPages: 12
Number of Students: S5
Number of Hours: 3
Professor: Bill Ralph
Name_ID_
Answer all questi
Page 1 of 12
Brock University
Final Examination: December 2009
Course: Math 1P01
Date of Examination: December 10
Time of Examination: 14:00-17:00
Name_
Number of Pages: 12
Number of Students: 80
Number of Hours: 3
Instructor: Bill Ralph
~ID
_
Answer all
Indefinite Integrals, Initial Value Problems and
Integration by Substitution
Learning Objectives Module 7
Find antiderivatives of simple functions by reversing the differentiation process.
Write an integration problem and its solution in proper mathematic
Pre-Calculus Concepts: Functions and Limits
Module 1 Learning Objectives
Factor a quadratic function
Factor differences of squares
Find the domain of a function
Graph a function using technology
Find the equation of a line, given a slope and a point or gi
Continuity and Differentiation
Module 2 Learning Objectives
Definition of continuity for real functions. Types of discontinuities.
Determine domains of continuity and points of discontinuity.
Find the average rate of change of a function over an interval.
Differentiation Techniques: Product, Quotient
and Chain Rules, and Implicit Differentiation
Module 3 Learning Objectives
Differentiate a function using the product rule
Differentiate a function using the quotient rule
Differentiate a function using the ch
Exponential and Logarithmic Functions
Module 4 Learning Objectives
Use the algebra of exponents to simplify algebraic expressions containing
exponents
Graph by hand and with technology, the natural exponential functions
(Growth) and
(Decay) where k is a p