Course
ADV ENG MATH
City & Guilds Advanced Engineering Mathematics: a rigorous foundation for analytical mastery in modern engineering.
Course Curriculum
38 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
Lesson 3: Integration Power rule Pt 1
pdf
4
Lesson 4: Integration Power rule Pt 2
pdf
5
Quiz 1: Differentiation and Integration
Quiz• 20 Questions
6
Differentiation and Integration Quiz solution
pdf
7
Quiz 2: Differentiation and Integration
Quiz• 10 Questions
8
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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