WTW 158: Calculus Fundamentals for Engineers

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R100.00
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Full WTW 158 Course

Total Hours: 7 hours

Theme 1: Functions

  • Numbers, intervals and inequalities
  • The absolute value
  • What is a function?
  • Radian measure and trigonometric functions
  • New functions from old functions
  • Exponential functions
  • Inverse functions
  • Logarithmic functions
  • Inverse trigonometric functions

Theme 2: Limits, continuity and derivatives

  • The limit of a function
  • Limit laws
  • Continuity
  • Limits at infinity and horizontal asymptotes
  • Derivatives and rates of change
  • The derivative as a function
  • Questions from past papers (Readapted)

Theme 3: Derivatives

  • Derivatives of polynomials and exponential functions
  • The product rule and the quotient rule
  • Derivatives of trigonometric functions
  • The chain rule
  • Implicit differentiation
  • Derivatives of logarithmic functions
  • Hyperbolic functions
  • Questions from past papers (Readapted)

Theme 4: Applications of differentiation

  • How the derivative affects the shape of the graph
  • The Mean Value Theorem
  • Maximum and minimum values
  • Indeterminate forms and L’Hospital’s rule
  • Curve sketching
  • Questions from past papers (readpated)

Theme 5: Integration

  • Anti-derivatives
  • The area problem
  • The definite integral
  • The Fundamental theorem of Calculus
  • Indefinite integrals
  • Questions from past papers (readapted)

Theme 6: Vector Algebra

  • Three- dimensional coordinate systems
  • Vectors
  • The dot product
  • The cross product
  • Questions from past papers (readapted)
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