MATHEMATICS PCMBC GRADE 11
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Course sections
Section 1
Trigonometric Functions - Part 1
1
Introduction
2
Exercise 3.1 – Part 1
3
Exercise 3.1 – Part 2
4
Concept of Trignometric Funtions – Part 1
Section 2
Trigonometric Functions - Part 2
1
Concept of Trigonometric Functions – Part 2
2
Signs in Trigonometric Functions
3
Exercise 3.2 – Part 1
4
Exercise 3.2 – Part 2
5
Exercise 3.2 – Part 3
6
T.F. of Sum and Difference of 2 Angles ( Part 2)
7
T.F. of Sum and Difference of 2 Angles ( Part 3)
8
T.F. of Sum and Difference of 2 Angles ( Part 4)
9
T.F. of Sum and Difference of 2 Angles ( Part 5)
10
Exercise 3.3 – Part 1
11
Exercise 3.3 – Part 2
12
Exercise 3.3 – Part 3
13
Exercise 3.3 – Part 4
14
Trigonometric Equations Example 18,19
15
Theorem 1,2,3 Example 20
Section 3
Trigonometric Functions - Part 3
1
Example 23,24 ; Exercise 3.4 – Part 1
2
Exercise 3.4 (2,3,4,5,6,7)
3
Exercise 3.4 – Part 2
4
Miscellaneous Exercises
Section 4
Principle of Mathematical Induction
1
Introduction
2
Exercise 4.1 – Part 1
3
Exercise 4.1 – Part 2
4
Exercise 4.1 – Part 3
5
Exercise 4.1 – Part 4
6
Exercise 4.1 – Part 5
7
Exercise 4.1 – Part 6
8
Exercise 4.1 – Part 7
9
Exercise 4.1 – Part 8
Section 5
Linear Inequalities
1
Introduction
2
Exercise 6.1 – Part 1
3
Exercise 6.1 – Part 2
4
Exercise 6.1 – Part 3
5
Exercise 6.1 – Part 4
6
Exercise 6.1 – Part 5
7
Exercise 6.2 (1,2,3)
8
Exercise 6.2 (4,5,7)
9
Exercise 6.3 (1,2,3)
10
Exercise 6.3 (6,7)
11
Exercise 6.3 (9,10,11)
12
Exercise 6.3 (12,13)
13
Miscellaneous Part – 1
14
Miscellaneous Part – 2
Section 6
Complex Numbers and Quadratic Equations
1
Introduction
2
Power of I
3
Exercise 5.1
4
Argand Plane and Polar Representation
5
Exercise 5.2
6
Miscellaneous Exercises
Section 7
Permutations and Combinations
1
Permutation and Factorial of a number; Exercise 7.1(1,2,3)
2
Exercise 7.1(4,5,6); Exercise 7.2 (1,2,3,4,5)
3
Combinations; Exercise 7.3 (1,2,6)
4
Exercise 7.3 (7,8)
5
Exercise 7.3 (9,11)
6
Exercise 7.4 (1,2,3,4,5)
7
Exercise 7.4 (6,7,8,9)
8
Miscellaneous Exercise – Part 1
9
Miscellaneous Exercise – Part 2
Section 8
Binomial Theorem
1
Introduction
2
Exercise 8.1(1,2,3,4)
3
Exercise 8.1(5,6,7,8,9)
4
Exercise 8.1(10,11)
5
Exercise 8.1(12,13,14)
6
General term & Middle term of a Binomial Expansion
7
Exercise 8.2 (3,4,5,6)
8
Exercise 8.2 (7,8,9)
9
Exercise 8.2 (10)
10
Exercise 8.2 (11,12)
11
Miscellaneous Exercise – Part 1
12
Miscellaneous Exercise – Part 2
13
Miscellaneous Exercise – Part 3
Section 9
Sequences and Series
1
Introduction; Exercise 9.1 (1 to 5)
2
Exercise 9.1 (6 to 14)
3
Exercise 9.2 (1 to 4)
4
Exercise 9.2 (5 to 9)
5
Exercise 9.2 (10 to 12)
6
Exercise 9.2 (13)
7
Geometric Progression;Exercise 9.3(1 to 3)
8
Exercise 9.3(4 to 7)
9
Exercise 9.3(8 to 11)
10
Exercise 9.3(12,13,14,15,17)
11
Exercise 9.3(18 to 21)
12
Exercise 9.3(22 to 25)
13
Exercise 9.3(26,27,28)
14
Exercise 9.3(29,30,31)
15
Exercise 9.4(1,2)
16
Exercise 9.4(3,4,5,6)
17
Exercise 9.4(7,8,9)
18
Example 1,2,3,6,9,12,18
Section 10
Straight lines
1
Introduction; Exercise 10.1 (1)
2
Exercise 10.1 (3,4,5,6)
3
Exercise 10.1 (7,8,9,10,11)
4
Exercise 10.1 (12,13)
5
Exercise 10.2 (7 to 13)
6
Exercise 10.2 (14,15,17,18,19)
7
Exercise 10.3 (1,2,3,4)
8
Exercise 10.3 (5,6,7,8,9)
9
Exercise 10.3 (10,11,12)
10
Exercise 10.3 (14,16,17,18)
11
Angle between 2 Lines; Collinearity of 3 Points; Various Forms of Equation of Line
Section 11
Statistics
1
Introduction
2
Measures of Dispersion
3
Example 1; Example 2; Exercise 15.1 (1)
4
Mean Deviation for Grouped Data; Example 4
5
Exercise 15.1 (6); Example 5
6
Exercise 15.1 (7,8); Continuous Frequency Distribution; Example 6
7
Exercise 15.1 (9,10)
8
Example 6
9
Mean Deviation about Median
10
Example 11
11
Variance; Example 8
12
Median; Example 9 ; Example 10
13
Exercise 15.2 (1,2,3)
14
Exercise 15.2(4); Standard Deviation for Continuous Frequency
15
Example 11; Methods to Find Variance and Standard Deviation
16
Example 12; Exercise 15.2 (6)
17
Exercise 15.2 (7,8)
18
Exercise 15.2 (9,10)
19
Exercise 15.1 (4); Coefficient of Variation
20
Example 13; Example 14; Example 15
21
Miscellaneous Exercise (6,7)
Section 12
Conic Sections
1
Introduction
2
Exercise 11.1(6 to 11)
3
Exercise 11.1(12 to 15)
4
Exercise 11.2(1,2,3,4,5,8,9,10,11,12)
5
Exercise 11.3(1,3,4,5,6)
6
Exercise 11.3(7,8,9)
7
Exercise 11.3(10,13,15,16,17,18,19)
8
Exercise 11.3(20); Exercise 11.4(1,2,3,4)
9
Exercise 11.4(5 to 11)
10
Exercise 11.4(12 to 15)
11
Ellipse; Hyperbola
Section 13
Introduction to 3-Dimensional Geometry
1
Introduction
2
Exercise 12.2(1,2,3)
3
Exercise 12.2(4,5); Distance Between 2 Points;Midpoint;Section Formula;Centroid of a Triangle
4
Exercise 12.3(1,2,3,4)
5
Exercise 12.3(5);Exercise 12.1(1 to 4)
Section 14
Limits & Derivatives
1
Exercise 13.1(22,23,25)
2
Exercise 13.1(26,27,28)
3
Introduction
4
Exercise 13.1(1 to 14)
5
Exercise 13.1(18 to 21)
6
Derivatives
7
Exercise 13.2(1,2,4)
8
Exercise 13.2(4,5,6,7,8)
9
Exercise 13.2[9(i,ii,iii,iv,v,vi)]
10
Exercise 13.2[10,11(i,ii,iii,iv,v,vi)]
Section 15
Mathematical Reasoning
1
Introduction
2
Exercise 14.2(2,3);Exercise 14.3(1,2,4)
3
Exercise 14.4(1,2,3)
4
Exercise 14.5(1,2,3,4,5)
Section 16
Probability
1
Introduction
2
Mutually Exclusive Events; Exhaustive Events; Probability of Equally Likely Outcome
3
Exercise 16.1(1 to 7)
4
Exercise 16.1(10 to 14)
5
Exercise 16.2(1,2)
6
Exercise 16.2(3)
7
Exercise 16.2[5(i,ii,iii,v)]; Exercise 16.3(1)
8
Exercise 16.3(2,3,4,5)
9
Exercise 16.3(6,8,9,10)
10
Exercise 16.3(11,12,14,15,16,17)
11
Exercise 16.3(18,19,20,21)
Section 17
Sets
1
Introduction
2
Subset , Power Set, Universal Set, Venn Diagrams
3
Intervals In Sets and Properties of Complement of Sets
4
Exercise 1.1
5
Exercise 1.2
6
Exercise 1.3 and 1.4 – Part 1
7
Exercise 1.4 – Part 2
8
Exercise 1.5
9
Exercise 1.6
Section 18
Relations and Functions
1
Introduction; Exercise 2.1
2
Exercise 2.1 Continued…
3
Exercise 2.2
4
Exercise 2.2 Continued…
5
Types of Functions
6
Exercise 2.3 – Part 1
7
Exercise 2.3 – Part 2
Questions
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Statistics
Example 11; Methods to Find Variance and Standard Deviation
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Statistics
Exercise 15.2(4); Standard Deviation for Continuous Frequency
Complete
Statistics
Example 12; Exercise 15.2 (6)
Questions
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