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BIT 1200

Calculus

0.5 credit · Undergraduate

Limits. Differentiation of the elementary functions, including trigonometric functions. Rules of differentiation. Applications of differentiation: max-min problems, curve sketching, approximations. Introduction to integration: definite and indefinite integrals, areas under curves, fundamental theorem of calculus.

2022

Topics

  • Review of Basic Concepts
  • Function Notation
  • Parent Functions and Transformations
  • Domain and Range
  • Trigonometry
  • Log Laws
  • Piecewise Functions
  • Odd and Even Functions
  • Limit Notation & Graphical Representations
  • Evaluating Limit Expressions Using Limit Laws
  • Continuity and Intermediate Value Theorem
  • Limits Involving Squeeze Theorem
  • Limits Involving Infinity
  • Derivative Definition
  • Derivatives Rules using Constant Rule, Power Rule, and Sum Rule
  • Derivatives Rules using Product Rule, Quotient Rule, and Chain Rule
  • Derivatives of Trigonometric Functions, Exponential Functions, and Inverse Functions
  • Logarithmic Differentiation
  • Linearization
  • Critical Points

Prerequisites & course information

Precludes additional credit for BIT 1000 , BIT 1100 , MATH 1002 (no longer offered), MATH 1004 , MATH 1007 , MATH 1009 , MATH 1052 , MATH 1401 / ECON 1401 , MATH 1402 / ECON 1402 . Prerequisite(s): Ontario Grade 12 Mathematics: Advanced Functions; or MATH 0005 and MATH 0006 ; or equivalent. Restricted to students in the B.I.T. degree program. Lectures three hours a week, tutorial/laboratory one hour a week.

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