Course
ADV ENG MATH
City & Guilds Advanced Engineering Mathematics: a rigorous foundation for analytical mastery in modern engineering.
Course Curriculum
66 Total ItemsWeek 1: Differentiation and integration
1
Lesson 1: Differentiation Power rule Pt 1
pdf
2
Lesson 2: Differentiation Power rule Pt 2
pdf
3
Differentiation intro part 1
video
4
Differentiation intro part 2
video
5
Differentiation intro part 3
video
6
power rule method part 1
video
7
power rule method part 2
video
8
power rule method part 3
video
9
power rule method part 4
video
10
power rule method part 5
video
11
Power rule example part 1
video
12
power rule example part 2
video
13
power rule example part 3
video
14
two or more functions pt1
video
15
two or more functions pt2
video
16
two or more functions pt3
video
17
two or more functions pt4
video
18
two or more functions pt5
video
19
Lesson 3: Integration Power rule Pt 1
pdf
20
Lesson 4: Integration Power rule Pt 2
pdf
21
Integration 01
video
22
Integration 02
video
23
Integration 03
video
24
Integration 04
video
25
Integration 05
video
26
Integration 06
video
27
Integration 07
video
28
Integration 08
video
29
Integration 09
video
30
Integration 10
video
31
Integration 11
video
32
Integration 12
video
33
Quiz 1: Differentiation and Integration
Quiz• 20 Questions
34
Differentiation and Integration Quiz solution
pdf
35
Quiz 2: Differentiation and Integration
Quiz• 10 Questions
36
Quiz 2 solution
pdf
Week 2: Differentiation and integration
1
Lesson 5: Chain rule of differentiation
pdf
2
Lesson 6: Integration by U substitution
pdf
3
Lesson 7: Differentiation of exponential function
pdf
4
Lesson 8: Integration of exponential function
pdf
Week 3: Differentiation and integration
1
Lesson 9: Differentiation of trig function
pdf
2
Lesson 10: Integration of trig functions
pdf
3
Lesson 11: Product rule of differentiation
pdf
4
Lesson 12: Integration by parts
pdf
Week 4: Differentiation and Integration
1
Lesson 13: Quotient rule of differentiation
pdf
2
Lesson 14: Integration involving natural log
pdf
3
Lesson 15: Decomposition into partial fraction
pdf
4
Lesson 16: Integration by partial fraction
pdf
Week 5: Laplace transformation
1
Lesson 17: Laplace transformation
pdf
2
Lesson 18: Laplace transforms of the derivatives
pdf
3
Lesson 19: Laplace inverse
pdf
4
Lesson 20: Laplace with differential equation
pdf
5
Engineering mathematics: Laplace transform exam
Quiz• 8 Questions
6
Laplace Transform Quiz solution
pdf
Week 6: Differential equations
1
Lesson 21: First order differential equation
pdf
2
Lesson 22: Second order DE
pdf
3
Lesson 23: Non-homogeneous SODE
pdf
4
Quiz 1: Differential equations
Quiz• 7 Questions
5
Quiz: Differential equation solution
pdf
Week 7: Fourier Series
1
Lesson 24: Fourier series
pdf
2
Lesson 25: Fourier series
pdf
3
Solved problems
pdf
4
Lesson 26: Fourier transform
pdf
5
Quiz 1
Quiz• 7 Questions
Week 8: Laplace transform part 2 and Orthogonality of functions
1
Lesson 27: Laplace transform part 2
pdf
2
Lesson 28: Orthogonality of function
pdf
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