Tim Gan Math Blog

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Tim Gan Math is an online Math Tutor collective that offers online courses help students to build confidence and excel in Mathematics. Here you will find helpful articles directing students and readers through intermediate (JC) Math topics, providing useful tips and inspiration to overcame and master the subject.

Tim Gan Math Blog

3d ago

As the exam season unfolds and you find yourself deep in the process, with another 20 days still ahead, itâ€™s essential to harness your focus and energy to maximize your ..read more

Tim Gan Math Blog

4d ago

These Ten-Year-Series (TYS) worked solutions with video explanations for 2009 A Level H2 Mathematics Paper 2 Question 4 are suggested by Mr Gan. For any comments or suggestions please contact ..read more

Tim Gan Math Blog

4d ago

2023 EJC P2 Q3 The variables $x$ and $y$ are related by the differential equation $pi frac{text{d}y}{text{d}x}+yleft( 3-pi tan x right)=0$. (a) Using the substitution $y=zsec x$, show that $frac{text{d}z}{text{d}x}=frac{-3x}{pi ..read more

Tim Gan Math Blog

4d ago

2023 ACJC P1 Q5 (i) Find $frac{text{d}}{text{d}x}{{text{e}}^{-{{x}^{2}}}}$. Hence find $int{{{x}^{3}}{{text{e}}^{-{{x}^{2}}}}}text{d}x$. [3] (ii) By using the substitution $z={{text{e}}^{-{{x}^{2}}}}y$, find the general solution of $frac{text{d}y}{text{d}x}-2xy={{x}^{3}}$, expressing $y$ in teams of $x$. [4 ..read more

Tim Gan Math Blog

4d ago

2023 YIJC P1 Q7 (a) (i) It is given that $frac{text{d}y}{text{d}x}={{left( 4x-y+2 right)}^{2}}$. Using the substitution $v=4x-y$, show that the differential equation can be transformed to $frac{text{d}v}{text{d}x}=text{f}left( v right)$, where ..read more

Tim Gan Math Blog

4d ago

2023 TMJC P1 Q10 (a) Show that the differential equation $frac{text{d}y}{text{d}x}-frac{2y}{x}={{x}^{3}}$ may be reduced by the substitution $y=u{{x}^{2}}$ to $frac{text{d}u}{text{d}x}=x$. Hence find the general solution for $y$ in terms of ..read more

Tim Gan Math Blog

1w ago

2023 JPJC P1 Q11 [ The volume of a cone of base radius $r$ and height $h$ is given by $V=frac{1}{3}pi {{r}^{2}}h$.] A disposable cup for water dispenser, in the ..read more

Tim Gan Math Blog

1w ago

2022 JPJC P1 Q9 (a) The functions $text{f}$ and $text{g}$ are defined by $text{f}:xto frac{x-2}{x+2}$, $xin mathbb{R}$, $xne -2$,$text{g}:xto -{{x}^{2}}$, $xin mathbb{R}$, $x<-sqrt{2}$, (i) Find ${{text{f}}^{-1}}left( x right)$ and state ..read more

Tim Gan Math Blog

1w ago

2023 MI P1 Q9 (a) A curve $y=text{h}left( x right)$ intersects the $x$-axis at point $A$ with coordinates $left( a,0 right)$, where $ane 0$, and has a horizontal asymptote with ..read more

Tim Gan Math Blog

1w ago

2024 ASRJC P1 Q7 (a) State a sequence of transformations that will transform the curve with equation ${{y}^{2}}-{{x}^{2}}=1$ on to the curve with equation $9{{y}^{2}}-54y-{{x}^{2}}-2x+79=0$. [4] (b) A curve $C ..read more