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Cambridge STEP 2 3 Standard Course – All-in-One

Categories Cambridge STEP

A course by

Xie Tao
Xie Tao
Independent Teacher

About Course

Cambridge STEP 2 3 Standard Course All-in-One, 7th Edition, a professional, systematic and efficient test-prep course developed for Cambridge STEP maths exam by Mr. Xie Tao. It is one of the UE Oxbridge-Prep series, aiming to help students acheive high grades in STEP 2 and 3. The extremly rich course material includes more than 3000 pages of coursebook, workbook, reproduced past papers and categorised questions PDFs, with 56 lectures and video lectures with approxmiately 50 hours' duration, as well as over 1,000 practice questions with full on-line solutions.
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What I will learn?

  • This course covers more than 98% of the topics of STEP specification.
  • It is recommended to study 32-36 lectures in the pure mathematics part, 8-9 lectures in the mechanics part, or 5 lectures in the statistics part.
  • Minimum learning time recommended is 300 hours (more than 9 months).

Course Curriculum

01 Logic (Demo)
• understand the term ‘statement’ • know truth tables • understand the terms ‘necessary and sufficient’ and ‘if and only if’ • master the procedures of deductive reasoning

  • 57:31
  • Exercises E01
  • Practices P01
  • Supplements S01

02 Counting

03 Primes and Factors

04 Divisbility

05 Mathematical Proofs (I)

06 Mathematical Proofs (II)

07 Algebraic Manipulations

08 Solving Equations

09 Simultaneous Equations

10 Roots of Equations

11 Inequalities

12 Polynomials

13 Functions and Their Graphs

14 Curve Sketching

15 Trigonometric Identities (I)

16 Trigonometric Identities (II)

17 Trigonometric Equations

18 Inverse Trigonometric Functions

19 Binomial Expansion

20 Sequences

21 Series

22 Series and Trigonometry

23 Further Summation

24 Integration (I)

25 Integration (II)

26 Integration (III)

27 Integration (IV)

28 Differential Equations

29 Complex Numbers

30 Vectors and Matrices

31 Plane Geometry*

32 Coordinate Geometry*

33 Static Equilibrium*

34 Kinematics*

35 Dynamics*

36 Hooke’s Law and Energy*

37 Momentum and Collisions*

38 Calculating Probabilities

39 Random Variables*

40 Probability Density Functions*

41 Probability Distributions*

42 Games and Strategies*

43 De Moivre’s Theorem

44 Complex Planes

45 Further Differential Equations

46 Maclaurin Series

47 Hyperbolic Functions

48 Further Vectors

49 Further Matrices

50 Conics*

51 Parametric Equations*

52 Polar Coordinates*

53 Impulses and Oblique Impacts*

54 Circular Motion*

55 Further Dynamics*

56 Simple Harmonic Motion*

Material Includes

  • 56 video lectures (duration of approx. 50 hours)
  • 400+ exemplar questions and 500+ practice questions
  • STEP 2 3 All-in-One Coursebook PDF + on-line solutions
  • STEP 2 3 All-in-One Workbook PDF + on-line solutions
  • STEP 2 Past Papers (1987-2023) PDF + on-line solutions
  • STEP 3 Past Papers (1987-2023) PDF + on-line solutions
  • STEP 2 Categorised Questions (2024 Edition) PDF + on-line solutions
  • STEP 3 Categorised Questions (2024 Edition) PDF + on-line solutions

Requirements

  • Completion of A Level Mathematics or equivalent high school mathematics course is required.
  • Preparation of competition maths at high school level is preferred.

Target Audience

  • Students applying for Mathematics or Computer Sciences courses at Cambridge, Oxford, and Imperial College London.
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