Erratum for textbook:
Mathematics for Engineering and Science
(Department of Mathematics, City University of Hong Kong, Pearson Custom Publishing)
Eigenvalues and Eigenvectors (Textbook Chapter 1)
P.1
MA2170
Linear Algebra and Multi-variable Calculus
Semester B 2012/13
Grading Policy:
Coursework (30%)
Test (20%)
- 1 Test
- To be held in either week 9 or week 10 (tentatively).
Quizzes (4%)
- quizzes
MA2170 Linear Algebra and Multi-variable Calculus
Part I
Course Duration: One semester
Credit Units: 3
Level: B2
Medium of Instruction: English
Prerequisites: A-Level Pure Mathematics/Applied Mathemat
Brief Table of Integrals
du = u + C
u p +1
+C
p +1
p
u du =
1
u du = log
e
e du = e
u
u
,
cosh u du = sinh u + C
sinh u du = cosh u + C
p 1
sech u du = tanh u + C
2
u +C
cosech u du = coth u +
Euler Form re i Revisit
Recall the following Taylor Series:
(1)
Taylor Series for cos x
x2 x4 x6
cos x = 1
+
+ .
2! 4! 6!
(2)
Taylor Series for sin x
x3 x5 x7
sin x = x
+
+ .
3! 5! 7!
(3)
Taylor Ser