Master the Fundamentals of Calculus

Dear student, I will discuss about the various differentiation techniques and properties. Cheers! ;-)

In this lecture, I will introduce one type of differentiation technique, called the Chain Rule. ;-)

Dear student, I will introduce a very useful differentiation technique in this lecture - the Product Rule! ;-)

Dear student, in this lecture, I will introduce another differentiation technique - the Quotient Rule! ;-)

Dear student, in this lecture, I will introduce the differentiation techniques of Trigonometric Functions. Please download the notes before viewing the lecture video. Thank you! ;-)

Dear student, in this lecture, I will introduce the basic differentiation of inverse trigonometric functions. Please download the notes before viewing the video lecture. In addition, there is a separate file which contains the proof of the derivative of sine-inverse function. It is for your extra reading. Thank you! ;-)

Dear student, in this lecture, I will introduce the basic differentiation techniques of exponential functions. Please download the lecture notes before viewing the video lesson. Cheers! ;-)

Dear student, welcome to this lecture. In this lecture, I will explain about differentiation involving logarithmic functions. Please remember to download the notes before viewing the video lecture. Cheer! ;-)

Dear student, welcome to this lecture on techniques of differentiation. In this lecture, I will discuss about implicit differentiation. Please remember to download the lecture notes before viewing the lecture video. Cheers! ;-)

Dear student, welcome to this lecture. In this lecture, I will introduce parametric equations and the technique to differentiate parametric equations. Please remember to download the lecture notes before viewing the video lecture. Cheers! ;-)

Dear student, welcome to this lecture on Differentiatioh Techniques. In this lecture, I shall review the solutions to the practice questions. You are strongly encouraged to attempt the questions first before viewing the lecture video for the solutions. Cheers! ;-)

Dear student, welcome to this lecture on Applications of Differentiation. In this lecture, I will briefly discuss about the concept of increasing and decreasing functions. Please kindly download the notes before viewing the video lecture. Cheers! ;-)

Dear student, welcome to this lecture on Applications of Differentiation. In this lecture, I will discuss about the concavity of a curve. Please download the notes before viewing the lecture video. Cheers! ;-)

Dear student, welcome to this lecture on Applications of Differentiation. In this lecture, I shall discuss about the concept of stationary points. Please download the lecture notes before viewing the lecture video. Cheers! ;-)

Dear student, welcome to this lecture on Applications of Differentiation. In this lecture, I shall talk about maxima/minima problems. Please remember to download the notes before viewing the lecture video. Cheers! ;-)

Dear student, welcome to this lecture on Applications of Differentiation. In this lecture, I will discuss the solution to a maxima/minima problem. You are strongly encouraged to try the question before viewing the video solutions. Cheers! ;-)

Dear student, welcome to this lecture on Application of DIfferentiation. In this lecture, I shall explain the concept of connected rate of change. Please download the notes before viewing the lecture video. Cheers! ;-)

Dear student, welcome to this lecture on Applications of Differentiation. In this lecture, I will review the solution to a problem concerning the connected rate of change. You are strongly encouraged to attempt the question before viewing the solution video. Have fun! Cheers! ;-)

Dear student, welcome to this lecture on Applications of Differentiation. In this lecture, I will introduce the concept of tangent and normal, using parametric equations as the function. Please download the notes before viewing the lecture video. Cheers! ;-)

Dear student. welcome to this lecture on Applications of Differentiation. In this lecture, we will reveal the solution to a problem involving tangent and normal. You are strongly encouraged to try the question before viewing the solution video. Cheers! ;-)

Dear student, welcome to this lecture on Applications of Differentiation. In this lecture, I will discuss about differentiation as applied to kinematics. Please download the notes before viewing the lecture video. Cheers! ;-)

Dear student, welcome to this problem-solving lecture. In this lecture, I will reveal the solution to a kinematics problem involving differentiation. You are strongly encouraged to try the question before watching the video solution. Cheers! ;-)

Dear student. welcome to this first video lecture on the introduction to Integration. Integration can be broadly considered as the 'reverse' of differentiation.

Please remember to download the notes before viewing the video lecture. Thank you! Cheers! ;-)

Dear student, welcome to this lecture on integration techniques. In this lecture, I will introduce the basic integration properties and techniques which are important for subsequent lectures. Please download the notes before viewing the video lecture. Cheers! ;-)

Dear student, welcome to this lecture on techniques of integration. In this lecture, I will introduce several basic integration of trigonometric functions. You are advised to be familiar with trigonometric identities before viewing this lecture video. There are two pdf files attached to this lecture and you are strongly encouraged to download the files to be used as notes for the lecture. Thank you! Cheers! ;-)

Dear student, welcome to this lecture on techniques of integration. In this lecture, I will discuss about integration to obtain inverse trigonometric functions. Please rememeber to download the notes before viewing the lecture. Cheers! ;-)

Dear student, welcome to this lecture on integration techniques. In this lecture, I will introduce the integration of exponential and logarithmic functions. Please remember to download the notes before viewing the video. Cheers! ;-)

Dear student, welcome to this lecture on integration techniques. In this lecture, I will discuss about the use of the integration result of f'(x) over [a^2-f(x)^2] or f'(x) over [f(x)^2-a^2]. Please download the notes before viewing the lecture video. Cheers! ;-)

Dear student, welcome to this lecture on integration techniques. In this lecture, I will discuss about the integration of miscellaneous trigonometric functions. Please remember to download the notes before viewing the lecture video. In addition, there is a separate piece of document on how and when to integrate using the Factor Formula, which is not covered in the video. You are also encouraged to read it through as a form of self-study. Cheers! ;-)

Dear student, welcome to this lecture on integration techniques. In this lecture, I will discuss about the use of substitution to simplify the integrand for easier integration. There is another piece of document for definite integration using substitution. You are strongly encouraged to download both documents and refer to them during the lecture video. Cheers! ;-)

Note: This chapter may be slightly more challenging for some people. So do not be discouraged if you don't quite get it the first time. View the lecture video again or you can contact me for more clarification.

Dear student, welcome to this lecture on integration techniques. In this lecture, I will discuss a special integration technique called the integration by parts. Please download the notes before viewing the lecture video for better learning experience. At the same time, the proof of the technique has been included as a pdf document in this chapter. Feel free to download the document for your reading. Cheers! ;-)

Dear student, welcome to this lecture on integration techniques. In this lecture, I will explain the integration method for fractional polynomials. To optimize your learning experience, please download the notes before you view the lecture video. In addition, there is a pdf document about an extension to the integration of fractional polynomials. You are strongly encouraged to read through the document after viewing the lecture video. Enjoy the lesson! Cheers! ;-)

Dear student, welcome to this lecture on applications of integration. In this lecture, I will introduce the concept of limiting sums as well as definite integration. Please download the notes before viewing the lecture video. Hope you enjoy the lesson. Cheers! ;-)

Dear student, welcome to this lecture on appplications of integration. In this lecture, I will explain in more detail about the integration to obtain the area bounded by a curve and the axes. Please download the notes before viewing the lecture video. Hope you enjoy the lesson! Cheers! ;-)

Dear student, welcome to this problem-solving lecture on Applications of Integration. In this lecture, I will discuss the solution to a problem involving the area under a curve. You are strongly encouraged to attempt the question before viewing the solution. Cheers! ;-)

Dear student, welcome to this lecture on Applications of Integration. In this lecture, I will discuss the area bounded between two curves. Please remember to download the notes before viewing the lecture video. Hope you enjoy the lecture. Cheers! ;-)

Dear student, welcome to this lecture on Applications of Integration. In this lecture, I will discuss about the evaluation of  area of parametric equations. Please remember to download the notes before viewing the lecture video. Hope you enjoy the lesson. Cheers! ;-)

Dear student, welcome to this lecture on Applications of Integration. In this lecture, I will discuss about the Volume of Revolution about the x-axis. Please download the notes before viewing the lecture video. Cheers! ;-)

Dear student, welcome to this lecture on Applications of Integration. In this lecture, I will discuss about the Volume of Revolution about the y-axis. Please download the notes before viewing the lecture video. Cheers! ;-)

Dear student, welcome to this lecture on Applications of Integration. In this lecture, I will discuss the solution to a problem involving Volume of Revolution. You are strongly encouraged to attempt the question before viewing the video solution. Have fun solving the problem! Cheers! ;-)

Dear student, welcome to this problem-solving lecture. In this lecture, you are required to apply what you have learnt to solve a calculus problem. You are strongly encouraged to attempt the question (in pdf file format) before viewing the pdf solution. There is no video for this lecture at the moment. Good luck! Cheers! ;-)

Dear student, the full solutions for Quiz 1 and 2 are included in this section. Please refer to them only after you have tried the quiz questions. Cheers! ;-)

Dear student, welcome to this lecture on Optimization with Constraints. In this lecture, I will briefly discuss the concept of applying Calculus to solve a problem that comes with a constraint. Please remember to download the notes before viewing the lecture video. Have fun! Cheers! ;-)

Dear student, this is the first problem of a series of Calculus problem-solving questions. You are strongly encouraged to try the question before viewing the video solution. Happy problem-solving! Cheers! :-)

Dear student, this is the second problem of a series of Calculus problem-solving questions. You are strongly encouraged to try the question before viewing the video solution. Happy problem-solving! Cheers! :-)

Dear student, this is another further problem-solving question for you to practise. The topic is on differentiation together with the concept of tangent and normal lines. Cheers! :-)

Dear student, welcome to Further Practice Problem 4. In this lecture, you are required to solve a problem involving the concept of limiting sum. You are strongly encouraged to recap lecture 35 about the concept of limiting sum before attempting the question. Cheers! :-D