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Mathematical Topics Review Guide

This concise guide covers various mathematical topics including matrices, vectors, complex numbers, calculus, geometry, discrete mathematics, and probability distributions. It includes examples, exercises, and important concepts to help you understand and apply these subjects efficiently.

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Mathematical Topics Review Guide

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  1. Blue print BLUE PRINT Marks : 1 6 10 tot 1.Applications of matrices and determinants 4 2 1 26 2.Vector Algebra 6 2 2 38 3.Complex Numbers 4 2 1 26 4.Coordinate Geometry 4 1 3 40 5.Differential calculus I 4 2 2 36 6.Differential calculus II 2 1 1 18 7.Applicaions of Int.Cal. 4 1 2 30 8.Diff.Equations 4 1 2 30 9.Discrete mathematics 4 2 1 26 10.Probality Distributions 4 2 1 26

  2. To get 60% • Marks : 1 6 10 tot • 1.Applications of matrices and determinants 4 2 1 26 • 2.Vector Algebra 6 2 2 38 • 3.Complex Numbers 4 2 1 26 • 6.Differential calculus II 2 1 1 18 • 9.Discrete mathematics 4 2 1 26 • 10.Probality Distributions 4 2 1 26 • 1*24=24 • 6*9 =54 • 10*7=70 138

  3. BLUE PRIT • Applications of matrices and determinants 4 2 1 - 26 • 6Marks 10Marks • Examples: 1.2,1.3,1.6,1.7,1.17 Rank of matrix 1.4,1.8,1.19,1.24,1.25, • 1.26,1.28 • Exercise 1.1:2,5,8,10,Inverse, Inverse Reversal law 3,6,9 • Exercise1.2:1,2 3,4,5 • Exercise1.4: --- 4,8,9,10 • Exercise1.5: 1(iii),(iv) Ex1.5: (i),(ii),(v),2,3

  4. 2.Vector Algebra 6 2 2 - 38 • 10Marks • (SinA±B),cos(A±B), Altitudes of a triangle are concurrent. • Ex2.5:5,12 • Example:2.44,2.50-2.52 • Ex2.7:3,Ex2.8:7-14 • 6Marks • Important Quets. /types: • Examples:2.12-15,2.26-2.28,2.33,2.38,2.42,2.45, 2.56,2.62,2.64 • Exer.2.2:1,2 Ex2.3:9,Ex2.4:5,8,10 • Ex2.5:4,8,10Ex2.7:(i),(ii),2,4 Ex2.8;6 • Ex2.9:2,3,Ex2.11:1,2,3,4

  5. 3.Complex Numbers 4 2 1 - 26

  6. 4.Coordinate Geometry 4 1 3 - 40 • 10Marks • 1.Finding ecce.focus,vertex,directrix,etc. • 2.Asymptotes • 3.Applications

  7. 5.Differential calculus I 4 2 2 --36 • 10Marks • 1. 5.1&5.2 • 2.Maclurin`sseries, L`hospital`sRule, maxima&minima ,concave convex point of inflection • 6Marks • Maclurin`sseries, L`hospital`sRule, maxima&minima ,concave convex point of inflection,Increasing Decreasing Rolle`s Theorem Mean value theorem Ex:5.1,5.2

  8. 6.Differential calculus II 2 1 1 -- 18 • 10Marks: Trace the curve Example 6.9,6.10 Ex6.2 :1 • Partial diff. Example 6.18,6.20,6.22 Ex6.3:1(i),(iv),5(i)

  9. 7.Applicaions of Int.Cal. 4 1 2 -- 30 • 10 Marks: 1.Area &volume • Example:25-34 • Ex7.4:4,7-9,15 • 2.Surface area & Lenth of arc • Example 7.37-7.40 • Ex7.5:1-4

  10. 8.Diff.Equations 4 1 2 -- 30 • 10Marks:1. Exercise: 8.2--8.4 • 2. Exercise: 8.5&8.6 (second order,Applications)

  11. 9Discrete mathematics 4 2 1 -- 26

  12. 10.Probality Distributions 4 2 1 --26

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