Instructors Qualifications:

Relevant Bachelor Degree or Equivalent.

Office Hours:

1.5 Per week

Contact Hours:

90

Student Evaluation Procedure:

Assignments/Chapter tests/Midterm Exam 5070%, Final Exam 3050%, Total 100%.
Grading procedures follow NVIT policy.

Learning Outcomes:

Prelude to Calculus
It is expected that learners should be able to:
demonstrate an understanding of the concept of the limit and notation used in expressing the limit of a function;evaluate the limit of a function analytically, graphically and numerically;distinguish between the limit of a function as x approaches a and the value of the function at x = a;demonstrate an understanding of the concept of one and twosided limits;evaluate limits at infinity;determine vertical and horizontal asymptotes using limits;determine continuity of functions at a point x = a;determine discontinuities and removable discontinuities; anddetermine continuity of polynomial, rational, and composite functions.
Optional Outcomes:
determine continuity of trigonometric functions; anddetermine limits of trigonometric functions.
The Derivative
It is expected that learners should be able to:
define and evaluate the derivative;distinguish between continuity and differentiability of a function; determine the slope of a tangent line to a curve at a given point;calculate derivatives of elementary, rational and algebraic functions;distinguish between rate of change and instantaneous rate of change;apply differentiation rules to applied problems;use Chain Rule to compute derivatives of composite functions;solve rate of change application problems;determine local and global extreme values of a function; andsolve applied optimization (max/min) problems.
Optional Outcomes:
calculate derivatives of trigonometric functions and their inverses;calculate derivatives of exponential and logarithmic functions;use logarithmic differentiation; calculate derivatives of functions defined implicitly;solve related rates problems; and use Newton‘s Method.
Applications of the Derivative
It is expected that learners should be able to:
determine critical numbers and inflection points of a function;compute differentials;use the First and Second Derivative Tests to sketch graphs of functions; and use concavity and asymptotes to sketch graphs of functions.
Optional Outcomes:
differentiate implicitly;understand and use the Mean Value Theorem; and apply L‘Hopital‘s Rule to study the behaviour of functions.
Antiderivatives
It is expected that learners should be able to:
compute antiderivatives of linear combinations of functions;use antidifferentiation to solve rectilinear motion problems;use antidifferentiation to find the area under a curve; andevaluate integrals using integral tables and substitutions.
Optional Outcomes:
use antidifferentiation to find the area between two curves; compute Riemann sums;apply the Trapezoidal Rule; and solve initial value problems.
Optional Outcomes:
Differential Equations
It is expected that learners should be able to:
derive a general solution of differential equations and find a particular solution satisfying initial conditions; andderive differential equations that explain mathematical models in the applied sciences.

Text and Materials:

William L. Briggs and Lyle Cochran. Single Variable Calculus. Current Edition. New York. Pearson

Other Resources:


Transfer Credits:

For more information visit: www.bctransferguide.ca

Other Information:

Education Council approved February 2013.
