Maths for Class 11: Complete Guide Entrance Exams
About Course
Course Description
Welcome to the Maths for Class 11 Entrance Exam Preparation course offered by EPCLAND! This course is designed to provide students with a comprehensive foundation in mathematics, crucial for excelling in various entrance exams like Olympiad, JEE, Engineering Entrance Exams, CBSE, NCERT, and other competitive exams. Whether you’re a high school student looking to strengthen your math skills or preparing for future exams, this course offers 245+ lectures and 115+ hours of expert-guided learning.
What Will You Learn in the Maths for Class 11 Course?
This course covers all essential concepts and topics from the Class 11 Maths curriculum, offering in-depth lessons and practice sessions that will help you master key concepts for your entrance exam preparations. With interactive modules and expert guidance, you will gain proficiency in:
-
Number System
- Master different types of numbers and their properties.
- Learn operations on sets, including laws, properties, and word problems related to set theory.
-
Relations and Functions
- Deep dive into Cartesian product of sets, functions, domain, codomain, and more.
- Solve problems related to equivalence relations and bijectivity of functions.
-
Trigonometry
- Conceptualize radians, degrees, and grades.
- Solve trigonometric equations, identities, and transformation formulas.
-
Complex Numbers
- Learn properties and operations of complex numbers, including conjugates, modulus, and square roots.
- Solve quadratic equations involving complex numbers.
-
Linear Inequalities
- Rules and techniques for simplifying linear inequalities.
- Graphical representation and word problems.
-
Permutations and Combinations
- Fundamentals of counting, permutations, and combinations.
- Advanced problems for exam readiness.
-
Sequences and Series
- Arithmetic Progression (AP), Geometric Progression (GP), and related problems.
- Properties and sum of terms.
-
Straight Lines
- Equations of lines, slope-intercept form, concurrent lines, and perpendicular distances.
-
Conic Sections
- Circles, parabolas, ellipses, and hyperbolas in standard and parametric forms.
- Real-world applications.
-
Limits and Derivatives
- Fundamental concepts of limits and continuity.
- Solve derivative problems using basic differentiation rules.
Target Audience
- Class 11 students aiming to strengthen mathematics skills.
- Students preparing for JEE, Engineering Entrance Exams, and Olympiad.
- CBSE and NCERT students who need mastery for school exams.
- Individuals seeking structured learning with comprehensive practice exams and solutions.
Why Choose EPCLAND for Maths for Class 11?
- Expert-Led Learning: Learn from experienced tutors with proven success in competitive exam preparation.
- Interactive Content: Over 245+ lectures packed with interactive modules to simplify complex concepts.
- Practice Exams: Regular tests for JEE, Olympiad, and other entrance exams.
- Comprehensive Coverage: From basics to advanced problems, everything you need to master Class 11 Maths.
Course Duration and Learning Materials
- Total Lectures: 245+
- Total Hours: 115+
Includes video lessons, quizzes, and exam-oriented modules for complete preparation.
What Will You Learn?
- Master key concepts in Math for Class 11.
- Learn Set Theory, Relations, and Functions.
- Understand Trigonometry and its applications.
- Solve complex problems involving Complex Numbers.
- Grasp Linear Inequalities and their graphical representation.
- Dive into Permutations, Combinations, and Series.
- Explore Straight Lines, Conic Sections, and their properties.
- Develop a strong foundation in Limits and Derivatives.
Course Content
Chapter 1: Sets
-
Introduction and Representation of Set in Different forms
26:27 -
Roster Form and Set builder form
26:00 -
Different types of Sets
29:00 -
Concept of subsets, Power Set, Universal Set
26:00 -
Basic Problems related to Sets
26:00 -
Operation on Sets Module – I
28:00 -
Operation on Sets Module – II
25:18 -
Laws related to SETS Module -I
25:00 -
Laws related to SETS Module -II
26:00 -
Properties of sets Module -I
40:00 -
Properties of sets Module -II
25:00 -
Properties of sets Module -III
35:00 -
Word Problems related to Set Theory Module -I
23:00 -
Word Problems related to Set Theory Module -II
25:00 -
Word Problems related to Set Theory Module -III
12:00 -
Word Problems related to Set Theory Module -IV
15:00 -
Word Problems related to Set Theory Module – V
16:00
CHAPTER – 2 RELATIONS AND FUNCTIONS
CHAPTER - 2 RELATIONS AND FUNCTIONS
-
28:00
-
Domain , Codomain and Range of a Relation Module -I
29:00 -
Domain , Codomain and Range of a Relation Module -II
29:00 -
Reflexive , Symmetric and Transitive relations
28:00 -
Problems related to Equivalence Relation Module – I
42:00 -
Problems related to Equivalence Relation Module – II
32:00 -
Problems related to Cartesian Product Module – I
24:00 -
Problems related to Cartesian Product Module – II
27:00 -
Domain , Codomain and Range of a Function Module -I
34:00 -
Different Types of Functions and their Domains and Range Module I
45:09 -
Different Types of Functions and their Domains and Range Module II
55:00 -
Problems related to Functions Module – I
19:00 -
Problems related to Functions Module – II
40:00 -
Problems related to Domain and Range of given Functions Module – I
46:00 -
Problems related to Domain and Range of given Functions Module – II
35:00 -
Problems related to Domain and Range of given Functions Module – III
36:00 -
Graphical Representation of Functions
31:00 -
Problems related to bijectivity of Functions
43:00
CHAPTER – 3 TRIGONOMETRY
CHAPTER - 3 TRIGONOMETRY
-
Concept of Degree, Radians and Grades and related Problems Module -I
56:00 -
Concept of Degree, Radians and Grades and related Problems Module -II
01:03:00 -
Circular System and Allied angles : Module -I
01:02:00 -
Circular System and Allied angles : Module -II
42:00 -
Problems related to Allied angles ; Module – I
55:00 -
Problems related to Allied angles ; Module – II
40:00 -
Derivation of Compound angle formulaes Module – I
12:00 -
Derivation of Compond angle formulaes Module – II
42:00 -
Problems related to Compound Angle Formulae Module- I
59:00 -
Problems related to Compound Angle Formulae Module- II
50:00 -
Problems related to Compound Angle Formulae Module- III
01:19:00 -
Derivation of Transformation Formulae and Related Problems
58:00 -
Problems related to Transformation Formulae Module- II
41:00 -
Problems related to Transformation Formulae Module- III
46:00 -
Derivation of Formulae for Multiple and Submultiple angles
50:00 -
Problems related to multiple and submultiple angles Module – II
33:00 -
Problems related to multiple and submultiple angles Module – III
29:00 -
Problems related to multiple and submultiple angles Module – IV
56:00 -
Problems related to multiple and submultiple angles Module – V
55:00 -
Circular Functions and related Problems
01:00:00 -
Trigonometric Identities Involving tangents and cotangents Module – I
16:00 -
Trigonometric Identities Involving Sines and Cosines Module – I
50:00 -
Trigonometric Identities Involving Sines and Cosines Module – II
48:00 -
Problems related to Trigonometric Identities
01:18:00 -
General Solutions For Trigonometric Equations Module – I
18:00 -
General Solutions For Trigonometric Equations Module – II
16:00 -
General Solutions For Trigonometric Equations Module – III
16:00 -
General Solutions For Trigonometric Equations Module – IV
16:00 -
General Solutions For Trigonometric Equations Module – V
22:00 -
General Solutions For Trigonometric Equations Module – VI
17:00 -
General Solutions For Trigonometric Equations Module – VII
20:00 -
General Solutions For Trigonometric Equations Module – VIII
17:00 -
General Solutions For Trigonometric Equations Module – IX
24:00 -
General Solutions For Trigonometric Equations Module – X
15:00 -
General Solutions For Trigonometric Equations Module – XI
20:00
CHAPTER – 4 COMPLEX NUMBERS
CHAPTER - 4 COMPLEX NUMBERS
-
Introduction
24:00 -
Properties of Complex numbers under ADDITION
26:00 -
Properties of Complex numbers under MULTIPLICATION
18:00 -
Congugate & its Properties Module – I
18:00 -
Congugate & its Properties Module – II
21:00 -
Modulus & its Properties Module – I
22:00 -
Modulus & its Properties Module – II
25:00 -
Modulus & its Properties Module – III
20:00 -
Triangular Inequality
20:00 -
Problems related to CONJUGATE and MODULUS Module – I
21:00 -
Problems related to CONJUGATE and MODULUS Module – II
18:00 -
Problems related to CONJUGATE and MODULUS Module – III
18:00 -
Problems related to CONJUGATE and MODULUS Module – IV
20:00 -
Problems related to CONJUGATE and MODULUS Module – V
18:00 -
Square root of A complex Number Module – I
15:00 -
Square root of A complex Number Module – II
06:00 -
Square root of A complex Number Module – III
15:00 -
Square root of A complex Number Module – IV
06:00 -
Square root of A complex Number Module – V
20:00 -
Finding value of a given Polynomial
20:00 -
Solution of Quadratic Equations Module – I
03:00 -
Solution of Quadratic Equations Module – II
20:00 -
Solution of Quadratic Equations Module – III
20:00
CHAPTER – 5 LINEAR INEQUALITIES
CHAPTER - 5 LINEAR INEQUALITIES
-
Introduction
20:00 -
Rules for simplification of Linear Inequalities
25:00 -
Problems about Simplification of Linear Inequalities Module – I
20:00 -
Problems about Simplification of Linear Inequalities Module – II
20:00 -
Problems about Simplification of Linear Inequalities Module – III
16:00 -
Problems about Simplification of Linear Inequalities Module – IV
16:00 -
Problems about Simplification of Linear Inequalities Module – V
16:00 -
Problems about Simplification of Linear Inequalities Module – VI
20:00 -
Problems about Simplification of Linear Inequalities Module – VII
20:00 -
Problems about Simplification of Linear Inequalities Module – VIII
18:00 -
Graphical Representation of Inequalities Module – I
18:00 -
Graphical Representation of Inequalities Module – II
20:00 -
Graphical Representation of Inequalities Module – III
08:00 -
Graphical Representation of Inequalities Module – IV
20:00 -
Graphical Representation of Inequalities Module – V
16:00 -
Graphical Representation of Inequalities Module – VI
20:00 -
Graphical Representation of Inequalities Module – VII
16:00 -
Graphical Representation of Inequalities Module – VIII
16:00 -
Graphical Representation of Inequalities Module – IX
23:00 -
Word Problems Module – I
18:00 -
Word Problems Module – II
20:00 -
Word Problems Module – III
20:00 -
Inequlaities involving Modulus Functions Module – I
17:00 -
Inequlaities involving Modulus Functions Module – II
25:00
CHAPTER – 6 PERMUTATIONS AND COMBINATIONS
CHAPTER - 6 PERMUTATIONS AND COMBINATIONS
-
Introduction, Concept of Factorial and related Results Module – I
28:00 -
Concept of Factorial and related Results Module – II
10:00 -
Fundamental Principal of Counting
15:00 -
Problems Involving Permutations Module – I
18:00 -
Problems Involving Permutations Module – II
22:00 -
Problems Involving Permutations Module – III
33:00 -
Problems Involving Permutations Module – IV
40:00 -
Problems Involving Permutations Module – V
38:00 -
Problems Involving Permutations Module – VI
32:00 -
Permutations of Different Objects Module -I
45:00 -
Permutations of Different Objects Module -II
42:00 -
Permutations of Objects, not all different Module -I
32:00 -
Permutations of Objects, not all different Module -II
25:00 -
Finding Rank of a word
25:00 -
Introduction of Concept of Combinations
40:00 -
Problems Involving Combinations Module – I
40:00 -
Problems Involving Combinations Module – II
25:00 -
Problems Involving Combinations Module – III
45:00 -
Problems Involving Combinations Module – IV
25:00 -
Problems Involving Permutations and Combinations Module – I
21:00 -
Problems Involving Permutations and Combinations Module – II
36:00
CHAPTER – 7. SEQUENCES AND SERIES
CHAPTER - 7. SEQUENCES AND SERIES
-
Introduction
20:00 -
Problems related to nth term of AP Module – I
25:00 -
Problems related to nth term of AP Module – II
20:00 -
Problems related to nth term of AP Module – III
22:00 -
Problems related to nth term of AP Module – IV
20:00 -
Problems related to sum of n terms of AP Module – I
20:00 -
Problems related to sum of n terms of AP Module – II
25:00 -
Problems related to sum of n terms of AP Module – III
23:00 -
Problems related to sum of n terms of AP Module – IV
22:00 -
Concept of Arithmetic Mean and related Problems Module – I
25:00 -
Concept of Arithmetic Mean and related Problems Module – II
21:00 -
Concept of Arithmetic Mean and related Problems Module – III
22:00 -
Selection of terms in an AP Module – I
24:00 -
Selection of terms in an AP Module – II
24:00 -
Properties of AP Module – I
26:00 -
Properties of AP Module – II
20:00 -
Problems related to nth term of GP Module – I
20:00 -
Problems related to nth term of GP Module – II
25:00 -
Problems related to nth term of GP Module – III
24:00 -
Problems related to nth term of GP Module – IV
21:00 -
Problems related to sum of n terms of GP Module – I
20:00 -
Problems related to sum of n terms of GP Module – II
20:00 -
Problems related to sum of n terms of GP Module – III
20:00 -
Problems related to sum of n terms of GP Module – IV
23:00 -
Selection of terms in an GP Module – I
27:00 -
Selection of terms in an GP Module – II
26:00 -
Concept of Geometric Mean and related Problems Module – I
25:00 -
Concept of Geometric Mean and related Problems Module – II
27:00 -
Concept of Geometric Mean and related Problems Module – III
28:00 -
Properties of GP Module – I
20:00 -
Properties of GP Module – II
30:00 -
Infinte GP
32:00
CHAPTER – 8 STRAIGHT LINES
CHAPTER - 8 STRAIGHT LINES
-
Slope and Angle between two lines Module – I
40:00 -
Slope and Angle between two lines Module – II
01:02:00 -
Equation of line parallel to axes
43:00 -
One point form
01:00:00 -
Two Point form
55:00 -
Intercept form of line Module – I
18:00 -
intercept form of line Module – II
01:00:00 -
Slope Intercept Form
01:01:00 -
Reducing General form of line to various forms
01:04:00 -
Incentre, Orthcentre and Circumcentre
56:00 -
Line perpendicular and parallel to a given line Module- I
15:00 -
Line perpendicular and parallel to a given line Module- II
25:00 -
Line perpendicular and parallel to a given line Module- III
18:00 -
Line perpendicular and parallel to a given line Module- IV
30:00 -
Concurrent lines
25:00 -
Angle between two lines Module – I
15:00 -
Angle between two lines Module – II
18:00 -
Angle between two lines Module – III
18:00 -
Angle between two lines Module – IV
21:00 -
Perpendicular distance of a point from a line Module – I
22:00 -
Perpendicular distance of a point from a line Module – II
22:00 -
Perpendicular distance of a point from a line Module – III
51:00
CHAPTER – 9 CONIC SECTION
CHAPTER - 9 CONIC SECTION
-
Circles – Different forms of Circle
51:00 -
Problems related to Central form and General Form Module- I
46:00 -
Problems related to Central form and General Form Module- II
48:00 -
Circles – Parametric Form
33:00 -
Circles – Diameter form
36:00 -
HOTS on CIRCLES Module -I
28:00 -
HOTS on CIRCLES Module -II
20:00 -
Parabola – Formation of Different Figures
30:47 -
Standard Form of Parabola
31:00 -
Different forms of Parabola
21:00 -
Combination of Focus and Directrix
15:00 -
Combination of Vertex and Directrix
20:00 -
Combination of Vertex and Focus
12:00 -
Combination of Focus and Tangent at the vertex
18:00 -
Standard Form of Ellipse
38:00 -
Formulae for Horizontal and Vertical Ellipse
18:00 -
Problems related to Ellipse : Module – I
22:00 -
Problems related to Ellipse : Module – II
16:00 -
Problems related to Ellipse : Module – III
12:00 -
Problems related to Ellipse : Module – IV
20:00 -
Problems related to Ellipse : Module – V
20:00 -
Problems related to Ellipse : Module – VI
16:00 -
Problems related to Ellipse : Module – VII
22:00 -
Standard Form of Hyperbola
49:00 -
Different forms of Hyperbola
16:00 -
Problems related to Hyperbola : Module – I
12:00 -
Problems related to Hyperbola : Module – II
16:00 -
Problems related to Hyperbola : Module – III
21:00 -
Problems related to Hyperbola : Module – IV
16:00 -
Problems related to Hyperbola : Module – V
16:00
CHAPTER – 10 LIMITS AND DERIVATIVES
CHAPTER - 10 LIMITS AND DERIVATIVES
-
Concept of Limits and Continuity
58:00 -
Problems related to LIMITS Module – I
26:00 -
Problems related to LIMITS Module – II
35:00 -
Problems related to LIMITS Module – III
11:00 -
Problems related to LIMITS Module – IV
15:00 -
Problems related to LIMITS Module – V
12:00 -
Problems related to LIMITS Module – VI
20:00 -
Problems related to LIMITS Module – VII
15:00 -
Problems related to LIMITS Module – VIII
23:00 -
Problems related to LIMITS Module -IX
21:00 -
Concept of Differentiability
21:00 -
Basic rules for Differentiation and Related Problems Module -I
01:12:00 -
Basic rules for Differentiation and Related Problems Module -II
48:00 -
Basic rules for Differentiation and Related Problems Module -III
53:00
CHAPTER – 11 STATISTICS
-
Mean for a raw data and Grouped data
28:00 -
Direct Method/Assumed Mean Method/ Step Deviation Method
30:00 -
Median and its Evaluation
43:00 -
Evaluation of Mode
22:00 -
Mode {Grouping Method}
15:00 -
Mean Deviation about Mean
26:00 -
Mean Deviation about Median
20:00 -
Variance and Standard Deviation for a Data
44:00 -
Derivation of Formulae for variance continued
14:00 -
Statistics {Additional infomration}
26:00 -
Statistics {Additional Information Continued }
50:00
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