Page 138 - buku panduan 20192020

Faculty of Science Handbook, Session 2019/2020

th
2. Stewart, J. (2015). Calculus (8 ed.). Cengage Soft Skills:
Learning. CS3, CTPS3, LL2
3. Adams, Robert A., & Essex, C. (2013). Calculus: A
th
complete course (8 ed. With MyMathLab). Pearson References:
Education. 1. Weir, Maurice D., & Hass, J. (2016). Thomas' calculus
th
(13 ed.). Pearson Education, Inc.
th
SIM1003 CALCULUS II 2. Stewart, J. (2015). Calculus (8 ed.). Cengage
Learning.
Inverses of trigonometric functions, hyperbolic functions, 3. Bartle, R.G., & Sherbert, D.R. (2011). Introduction to
th
inverses of hyperbolic functions. Integration by parts, real analysis (4 ed.). John Wiley & Sons.
integration of rational functions by partial fractions, 4. Lay, S.R. (2014). Analysis with an introduction to
trigonometric integrals, trigonometric substitutions, proof (5 ed.). Pearson.
th
improper Integrals. Sequence, infinite series, integral test,
comparison tests, the ratio and root tests, alternating series SIM2002 LINEAR ALGEBRA
test, absolute and conditionally convergence, power series,
Taylor and Maclaurin series. Vectors, Dot product, Cross Vector spaces and subspaces, basis and dimension, the
Product and triple Product, lines and planes. Polar row space and column space, rank and nullity. Linear
coordinates. Cyclinder and quadric surfaces. Vector-valued transformations, kernel and range, composition and
functions and space curves, differentiation and integration isomorphism, matrix representation, similarity and
of vector valued functions. Functions of several variables, diagonalizability, Cayley-Hamilton Theorem.
limits and continuity in higher dimensions.
Assessment:
Assessment: Continuous Assessment: 40%
Continuous Assessment: 40% Final Examination: 60%
Final Examination: 60%
Medium of Instruction:
Medium of Instruction: English
English
Soft Skills:
Soft Skills: CS3, CTPS3, LL2
CTPS3, LL2
References:
th
References: 1. Larson, R. (2017). Elementary Linear algebra (8 ed.).
1. Weir, Maurice D., & Hass, J. (2016). Thomas' calculus Mason, OH: Cengage Learning.
rd
(13 ed.) Pearson Education, Inc. 2. Sheldon, A. (2015). Linear algebra done right (3 ed.).
th
th
2. Stewart, J. (2015). Calculus (8 ed.). Cengage New York, NY: Springer International Publishing.
nd
Learning. 3. Hoffman, K. M., Kunze, R. (1971). Linear algebra (2
3. Adams, Robert A., & Essex, C. (2013). Calculus: A ed.). Englewood Cliffs, NJ: Prentice-Hall.
th
complete course (8 ed. With MyMathLab). Pearson 4. Friedberg, S.H., Insel, A.J., & Spence, L.E. (2002).
Education. Linear algebra (4 ed.). Upper Saddle River, NJ:
th
th
4. R.T. Smith, R.T., & Minton, R.B. (2012). Calculus (4 Prentice – Hall.
ed.). McGraw-Hill. 5. Ma, S.L., Tan, V., & Ng, K.L. (2007). Linear algebra I
(3 ed.). Singapore: Pearson Prentice-Hall.
rd
SIM2001 ADVANCED CALCULUS
SIM2003 INTRODUCTION TO COMBINATORICS
Partial derivatives. Differentiability and continuity.
Linearization and differentials. The Chain Rule, Partial Ordered and equivalence relations, binomial and
derivatives with constrained variables. Directional multinomial theorems, recurrence relations, principle of
derivatives. Gradient. Divergence and Curl. Tangent inclusion and exclusion, Latin squares, magic squares,
planes. Taylor’s Theorem. Extremum problems of functions basic properties of graphs, circuits and cycles in graphs,
of two variables. Lagrange multipliers. trees and their applications.

Double integrals, iterated integrals and Fubini’s Theorem. Assessment:
Applications to areas and volumes. Double integrals in Continuous Assessment: 40%
polar form. Triple integrals, iterated integrals. Volumes Final Examination: 60%
and masses. Triple integrals in cylindrical and spherical
coordinates forms. Substitution in multiple integrals, Medium of Instruction:
Jacobians. English

Basic set theory. Functions, bijective functions, inverse Soft Skills:
functions. Finite and infinite sets, countable and CS3, CTPS3, LL2
uncountable sets. The Real Number system. Bounds,
supremum and infimum. Archimedean property. Rational References:
and irrational numbers. Properties of real numbers. 1. Erickson, M.J. (2013). Introduction to combinatorics
nd
Sequences of real numbers, convergence. Limit Theorems. (2 ed.). Wiley.
Monotone sequences, Cauchy sequences and 2. Chen, C.C., & Koh, K.M. (1992). Principles and
subsequences. Basic topology of the real line: Open and techniques in combinatorics. World Scientific.
closed sets, accumulation points. 3. Lovasz, L., Pelikan, J., & Vesztergombi, K. (2003).
Discrete mathematics: Elementary and beyond.
Assessment: Springer.
Continuous Assessment: 40% 4. Matousek J., & Nesetril J. (2008). Invitation to discrete
Final Examination: 60% mathematics (2 ed.). Oxford University Press.
nd

Medium of Instruction:
English
125