Questions and Suggested Answers for Mathematics M Semester 1 STPM 2025 / Repeated 1 STPM 2024

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Questions and Suggested Answers for Mathematics T Semester 1 STPM 2025 / Repeated 1 STPM 2024

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Last minutes must known topics for Mathematics T and Mathematics M
Both
Chapter 1
Solving inequalities (algebraic/graph)
Solving equation
Composite function, inverse function
R formula
Know all trigonometric identities (Mathematics T)

Chapter 2
Arithmetic progression/series
Geometric progression/series
Summation of finite series (method of differences)
Binomial expansions (including approximation)

Chapter 3
Perform addition, subtraction, scalar multiplication, multiplication of matrices
Properties of determinant
Use ERO to find inverse matrix
Solve system using Gaussian elimination/inverse matrix
Types of solution for system of linear equations (unique solution, infinitely many solutions and no solution) and conditions

Mathematics T
Chapter 4
Find modulus and argument of complex number
Conversion between Cartesian form and polar form
Perform addition, subtraction, scalar multiplication, multiplication, division, power and root of complex number (De Moivre's theorem)

Chapter 5
Know how to determine centre, focus, vertex, asymptote and so on for conics
Know how to apply parametric equations

Chapter 6
Know how to perform scalar product and vector product
Know how to find angle between two lines, between a line and a plane and two planes
Know how to find point of intersection between two lines and a line and a plane, line of intersection between two planes

Mathematics M
Chapter 4
Know all derivatives
Know how to apply differentiation rules
Implicit differentiation
Curve sketching

Chapter 5
Know all integrals
Know how to apply integration technique (partial fractions, algebraic substitution and by parts)
Find area of bounded region and volume generated by solid revolution

Chapter 6
Solve differential equation using separable variables or integrating factor
Know how to apply in application

I wish you all the best for exam later.

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Congratulations to those who score flying colours. For those who do not satisfy for the result, you still have chance in U2 exam.

The result for semester 2 STPM 2024 will be released tomorrow at 10 am. You can check it in the link below.

https://stpm.mpm.edu.my/STPM_RESULTS2/

Wish you all can get flying colours.

Last Minute Reminder for Mathematics T
Chapter 7
Remember all indeterminate form of limits
Know how to evaluate limit (direct substitution, factorisation, rationalisation, divide by highest power of x in denominator, ~~L' Hospital's rule~~)
Know how to show existence of limit
Know how to show continuity of function at a point and in the interval (never come out)

Chapter 8
Know how to differentiate using first principle (never come out)
Remember all derivatives
Know how to use all rules of differentiation
Know how to perform implicit and parametric differentiation
Know how to use first derivative test and second derivative test
Application (~~curve sketching~~, rate of change and optimisation problem)

Chapter 9
Remember all antiderivatives
Know all trigonometric identities (double angle formula, compound angle formula, pythagoras identities, sum and difference of sine and cosine and etc)
Know how to decompose partial fractions
Know how to determine u and dv in integration by parts (LIATE)
Remember all substitution methods
Remember formula to find area and volume

Chapter 10
Know how to identify types of differential equations (separable, linear and homogenous)
Know how to integrate separately for separable DE
Know how to integrate by mean of integrating factor for linear DE
Know how to substitute to transform homogeneous DE into linear or separable DE
Know how to find general solutions
Know how to use boundary condition to find particular solutions

Chapter 11
Remember Maclaurin Theorem
Know how to use standard series
Know how to evaluate limit, differentiate and integrate using Maclaurin expansion

Chapter 12
Intermediate answer in more than 1/2 dp/sf from required dp/sf in question
Know how to determine iteration converges or diverges
Remember ≈ for the Trapezium rule
State dp/sf in final answer
Know how to determine overestimate and underestimate of the Trapezium rule

Good luck to all sem 2 students that take Mathematics T. Wish you all the best and meet you all in sem 3 (statistics).

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Suggested Answer for Sample Paper 2 Management Mathematics

Questions 4 and 5 are not in syllabus of Mathematics M.

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Focus topic for Section B Mathematics M Semester 2

1) Probability (situation)
2) Probability Distributions (PDF and CDF of random variables/binomial and normal approximation to binomial distribution/poison distribution/normal distribution)
3) Correlation and Regression
4) Time Series

Disclaimer : This is just list of focus topics, not SPOT topics. You should revise all topics and may focus more on these topics.

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