In this course, the basic concepts of limits, differentiation and integration are introduced. Applications of differential and integral calculus are included. In addition, the course also covers topics on complex numbers, vectors and matrices. It aims to prepare the first year engineering students for further courses in engineering disciplines and more advanced mathematics in year 2.
This course aims to equip you with
1. mathematical knowledge and analytical skills so that you are able to apply techniques of advanced calculus (along with their existing mathematical skills) to solve engineering or scientific problems whenever applicable;
2. mathematical reading skills so that you can read and understand related mathematical content in the basic and popular scientific and engineering literature; and
3. mathematical communication skills so that you can effectively and rigorously present your mathematical ideas to mathematicians, scientists and engineers.
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Took this mod in 23 24 Sem 1
Lectures I felt Prof Tang Wee Kee explained all the concepts pretty well during the weekly lectures, while also solving multiple examples. His notes slides are more than enough to do well in this module.
Tutorials Not more than half of every tutorial handout is solved by the tutor in the tutorials due to time constraints, so it is important to practice on own and be thorough with all the questions for the finals as questions are very similar.
Grading based on Finals(60%), Midterm(15%), Take Home Test(9%), Online Assignments(16%)
The Online Assingnmetns are of moderate difficulty. There are 8 of them spread through the course with multiple attempts allowed. They are good to review concepts covered in lectures. Try repeating until you get the maximum score.
The Mid term is of a similar pattern to the online assignments, but well simpler. Practicing all the online assingments, tutorials and PYQs should be good.
The Take Home Test is given closer to the Finals and you are given 2 3 days time to finish it. You can cross check with your peers and internet resoursces so try getting the maximum score.
The Finals have a very similar pattern every year. Being thourough with the notes and tutorials and practicing all PYQs is important to score well.January 2, 2024