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THIS book covers a variety of essential calculus skills, including:

  •  Parametric Equations
  • Tangent Lines and Arc Length for Parametric Equations
  •  Polar Coordinate Systems
  •  Graph of Polar Equations
  •  Tangent Lines and Arc Length for Polar Curves
  •  The 3-D Coordinate System > Equations of Lines
  •  Equations of Planes
  •  Quadric Surfaces » Cylindrical Surfaces
  •  Limits
  •  Partial Derivatives
  •  Interpretations of Partial Derivatives
  •  Higher Order Partial Derivatives
  •  Differentials
  •  Chain Rule
  •  Directional Derivatives
  •  Tangent Planes and Linear Approximations
  •  Gradient Vector, Tangent Planes and Normal Lines
  •  Relative Minimums and Maximums
  •  Double Integrals
  •  Iterated Integrals Double Integrals over General Regions
  •  Double Integrals in Polar Coordinates
  •  Triple Integrals Triple Integrals in Cylindrical Coordinates
  •  Triple Integrals in Spherical Coordinates
  •  Area and Volume

Goals/Objectives

The goal of this book is not only covering for every possible topic from calculus, but also focuses on the most essential skills needed in other subjects such as physics, computer science, statistics or engineering.

 

Instructor Biography

MESLIZA mohamed
is a senior lecturer at Universiti Teknologi MARA, Pahang Branch. She received both her degrees BSc and MSc from Universiti Kebangsaan Malaysia and PhD from the University of Queensland, Australia. Her research interests are in differential equations, difference equations and functional equations.

 

RIZAUDDIN saian
is an associate professor at Universiti Teknologi MARA, Perlis Branch. He has more than 23 years of teaching experience in mathematics. He received his BSc Honours in Mathematics from Universiti Malaya in 1998. He obtained his MSc in 2005, and PhD in 2013 from Universiti Utara Malaysia. His research interest is data mining.

 

NAZIRAH ramli
is an associate professor of Mathematics at Universiti Teknologi MARA, Pahang Branch. She has more than 26 years of teaching experience in mathematics. She holds a PhD in Fuzzy Mathematics from Universiti Teknologi MARA and a MSc in Management Mathematics from Universiti Kebangsaan Malaysia. She also has a BSc (Hons) in Mathematics from Universiti Malaya. Her research interests are in fuzzy mathematics, and images and metaphors of mathematics.

 

HAFIZUDIN mohamad nor
is a senior lecturer at Universiti Malaysia Perlis. He received both his diploma and bachelor from Universiti Teknologi MARA. He got his master and PhD from Universiti Sains Malaysia. His research interest mostly in applied mathematics especially about homotopy continuation methods to solve nonlinear equations.

 

SITI KHUZAIMAH soid
is a senior lecturer at the Centre of Mathematical Studies, Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Malaysia. She holds a PhD in Applied Mathematics and a MSc in Mathematics from Universiti Kebangsaan Malaysia. She also has a BSc (Hons) in Pure Mathematics from Universiti Teknologi MARA. She is actively writing journals and supervising undergraduate and postgraduate students. Her research interests are boundary layer flow and heat transfer in fluid dynamics.

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