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.17 first sentence
In Problem 1.1.12,
P.19 1.2.16 Remark
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 will be conducted during the lectures.
Take-home Assig
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 Mathematics;
MA1200/MA1300 and MA1201/MA1301;
MA2176 ;
MA2183 ;
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 + C
2
+C
au
a du = log e a + C
sech u tanh u du = sech
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 Series for e x
x2 x3 x4 x5 x6 x7
+
+
+
+
+ .
ex = 1+ x +
2
Re name = Mom Engimmriug Waiting ZMLECUHM
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ENGINEERING APPLICATION: ALTERNATING CURRENTS IN ELECTRICAL NETWORKS
u..-
Engineeringl application: alternating .
currents in electriCal networks
When an altelnating current