This book has been designed for science students at the tertiary education, specifically in intermediate calculus. Students are introduced to the definitions of the inverse trigonometric functions, hyperbolic and inverse hyperbolic functions. They will learn how to simplify, differentiate and integrate these functions. Besides, various techniques of integration such as integration by parts, trigonometric substitutions, and the use of partial fractions in integrating rational functions are discussed. This book also covers the first and second order of the ordinary differential equations including the applications of the first ordinary differential equations. The authors have also included a chapter on basic differentiation and integration techniques as a revision. All chapters provide many examples and clear explanation for students to understand and use the concepts effectively. Exercises and miscellaneous questions are given at the end of each section and chapter respectively to test students on the understanding of each topic.

Instructor Biography

Jasmani Bidin graduated from the Midwestern State University, Texas, USA in 1991, with a degree in Bachelor of Science (Math). She later obtained a Master in Science (Management Mathematics) from Universiti Kebangsaan Malaysia, Bangi, Malaysia. (2000). She started her career as a lecturer in Universiti Teknologi MARA (UiTM), Perlis, in July 1992. Since then she has been teaching mathematics courses in UiTM such as Calculus 1, Calculus 2, Ordinary Differential Equations, Foundation of Applied Mathematics, Business Mathematics and Business Statistics.

Mohamad Najib Mohamad Fadzil received his Bachelor degree and Master in Mathematics (2004) from Universiti Kebangsaan Malaysia, Bangi, Malaysia. Najib has a 15 year teaching experience in applied mathematics, particularly in the course of Foundation of Applied Mathematics. He is currently the resource person for the course in UiTM.

Ku Azlina Ku Akil obtained her Bachelor of Science in Mathematics from Universiti Teknologi Malaysia, Skudai, Malaysia in 1997, and a Master of Science in Applied Mathematics from the University of Auckland, New Zealand in 2007. She has been a lecturer in UiTM, Perlis, teaching courses such as Calculus 2, Ordinary Differential Equations, and Introduction to Mathematical Modelling.

Noorsham Mansor graduated from North Texas State University (now known as The University of North Texas), Texas, USA with a Bachelor in Science (Math) in 1985. She received a Master in Education from the same university in 1986. She started her teaching career as a secondary school teacher for three years, before joining UiTM, Perlis (then known as Institut Teknologi MARA) in 1991. Since then she has been teaching courses such as Calculus 1, Calculus 2, Mathematics for Engineering, Linear Algebra, Business Mathematics, and Foundation of Applied Mathematics.

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