HSC English Version Higher Math 2nd Paper Book & Guide PDF 2026 | Previous Year Questions & Solutions Download - ইচএসসি ইংরেজি ভার্সন উচ্চতর গণিত ২য় পত্র বই ও গাইড পিডিএফ ২০২৬ | বিগত বছরের প্রশ্ন ও সমাধান
Complete English Medium HSC Higher Mathematics 2nd Paper Book, Notes, and Previous Year Question Collection (PDF Download)
ভূমিকা (Introduction)
ভূমিকা (Introduction)
এইচএসসি (ইংরেজি ভার্সন) শিক্ষার্থীদের জন্য উচ্চতর গণিতের দ্বিতীয় পত্র একটি গুরুত্বপূর্ণ বিষয়, যেখানে Calculus, Integration, Differential Equations এবং Complex Number অধ্যায়গুলো বিশেষ গুরুত্ব বহন করে।
এই ২০২৬ সংস্করণের HSC EV Higher Math 2nd Paper Textbook & Guide PDF-এ একসাথে পাওয়া যাবে —এটি শিক্ষার্থীদের জন্য একটি পূর্ণাঙ্গ প্রস্তুতি সহায়িকা, যা পরীক্ষার আগে পুনরাবৃত্তি ও অনুশীলনে কার্যকর ভূমিকা রাখবে।
HSC EV Higher Math 2nd Paper Syllabus
Chapter One: Real Numbers and Inequalities (12 Periods)
Chapter One: Real Numbers and Inequalities (12 Periods)
Real numbers and subsets of real numbers, Axioms of real numbers, Properties of inequalities, Absolute value, Inequalities of one variable, Solution of inequalities with one variable, Absolute value inequalities, Solution of inequalities in one variable by number line, Linear inequalities of two variables, Graph of linear inequalities of two variables.
Chapter Two: Linear Programming (10 Periods)
Linear programming, Formulation of linear programming, Practical: Solution of linear programming problem by graphical method.
Chapter Three: Complex Numbers (12 Periods)
Complex numbers and geometrical representation of complex numbers (Argand diagram), Absolute value (modulus) and slope (argument) of complex numbers, Conjugate complex numbers, Characteristics of complex numbers, Geometrical representation of the addition, subtraction, division and multiplication of complex numbers, Square roots of complex number, Cube roots of unity, Practical: Determination of modulus and argument of two complex numbers in Argand diagram.
Chapter Four: Polynomials and Polynomial Equations (14 Periods)
Solution of quadratic equation by factorization, General solution of quadratic equations, Relation between roots and coefficients of quadratic equations, Discriminant, Roots of quadratic and cubic equations, Formation of quadratic equations, Polynomials, Relation between roots and coefficients of cubic equations, Practical: Determination of approximate value of the solution of equation with the help of graph.
Chapter Five: Binomial Expansions (12 periods)
Principle of induction and method of induction, Binomial theorem, Pascal's triangle, General term, middle term and equidistant term of binomial expansion, Binomial expansion in infinite series, Convergency of infinite binomial series, Binomial expansion by using partial fraction.
Chapter Six: Conics (20 Periods)
Conics, Focus, eccentricity and directrix of a conic, Different types of conics (Circle, Parabola, Ellipse and Hyperbola), Representation of conic by diagram, Representation of conic by diagram as the locus of intersection of cone and plane, Equation of parabola passing through the origin, Drawing the graph of the parabola y² = 4ax, Length of latus rectum of parabola and coordinates of focus, Vertex of parabola, focus and equation of directrix, Standard equation of an ellipse, Drawing the graph of the equation of ellipse a += 1, Focus and directrix of the ellipse, Length of major and minor axis of ellipse, Parametric coordinates of the ellipse at fixed point (acose, bsine), Eccentricity, Coordinates of focus and equation of directrix, Standard equation of hyperbola whose centre is at origin is 1, Graph of the standard equation of hyperbola, Intersecting points of hyperbola with axes, Asymptotes of hyperbola, Transverse and conjugate axes of hyperbola, Parametric coordinates of hyperbola, Determination of the equation of hyperbola, Determination of the eccentricity, focus and directrix, Identification of focus and directrix in diagram, Practical: Drawing the graph of the parabola, Drawing the graph of the ellipse, Drawing the graph of the hyperbola.
Chapter Seven: Inverse Trigonometric Functions and Trigonometric Equations (14 Periods)
Inverse trigonometric functions and its principal value, Graph of inverse trigonometric functions, General solution of trigonometric equations, Solution of trigonometric equation in a finite interval, Practical: Sketch the graph of inverse trigonometric function, Sketch the graph of function and its inverse function on a same graph.
Chapter Eight: Statics (16 Periods)
Elementary ideas of mechanics, Transmissibility of point of application of force, Action and reaction of forces, Resultant of two forces, Component of forces, Resultant of a system of forces, Equilibrium of a system of forces, Triangle law of equilibrium, Lami's theorem of equilibrium, Condition of equilibrium of coplanar forces, Resultant of parallel forces acting on a rigid body, Practical: Resultant of forces by graph.
Chapter Nine: Motion of Particles in a Plane (16 Periods)
Displacement, velocity and acceleration, Resultant of several velocities and relative velocity, Proof of the formulae v = u + ft, s = ut+ft, v² = u²+2fs,
(a) Space described in particular second,
(b) Average velocity, Graph of the motion of a particle, The velocity and acceleration of a particle from the graph, Application of formulae related to acceleration in case of vertical motion
(c) Velocity of a projectile in case of vertical motion and Determination of (a) Maximum height (b) Time to reach the highest point of projectile (c) Time of flight
(d) Horizontal range, The path of a projectile is a parabola, Practical: Motion path of a particle in graph, Determination of the velocity and acceleration of a particle through the graph.
Chapter Ten: Measures of Dispersions and Probability (14 Periods)
Dispersion of data, Measures of dispersion of data, Standard deviation and variance for grouped and ungrouped data, Concept of probability, Basic concept related to probability, Determination of the probability of happening repetition events, Additive laws of probability for mutually exclusive and not mutually exclusive events, Multiplicative laws of probability for independent and dependent events, Solution of practical life problem, Practical: Determination of standard deviation and variance for grouped and ungrouped data, Determination of the probability of different events (mutually exclusive, not mutually exclusive, independent and dependent events).
এই বইয়ে বিগত বছরের যে সকল বোর্ডের প্রশ্ন অন্তর্ভুক্ত করা হয়েছে
- ঢাকা বোর্ড - ২০২৫
- রাজশাহী বোর্ড - ২০২৫
- কুমিল্লা বোর্ড - ২০২৫
- যশোর বোর্ড - ২০২৫
- চট্টগ্রাম বোর্ড - ২০২৫
- বরিশাল বোর্ড - ২০২৫
- সিলেট বোর্ড - ২০২৫
- দিনাজপুর বোর্ড - ২০২৫
- ময়মনসিংহ বোর্ড - ২০২৫
প্রতিটি Chapter শেষে রয়েছে।
- Exercise
- A - Multiple Choice Questions
- B - Multiple Choice Questions From Board Exams
- C - Multiple Choice Questions From Admission Tests
- D - Creative Questions
- E - Creative Questions from Board Exams
- Answers - Multiple Choice Questions
Table of Contents
| Chapter | Title | Page |
|---|---|---|
| *** | Detailed Contents | 1-5 |
| *** | Necessary Formulae at a Glance | 6-8 |
| Chapter : 01 | Real Numbers and Inequalities | 9-56 |
| Chapter : 02 | Linear Programming | 57-88 |
| Chapter : 03 | Complex Numbers | 89-146 |
| Chapter : 04 | Polynomials and Polynomial Equations | 147-212 |
| Chapter : 05 | Binomial Expansions | 213-258 |
| Chapter : 06 | Conics | 259-356 |
| Chapter : 07 | Inverse Trigonometric Functions and Trigonometric Equations | 357-428 |
| Chapter : 08 | Statics | 429-514 |
| Chapter : 09 | Motion of Particles in a Plane | 515-602 |
| Chapter : 10 | Measures of Dispersions and Probability | 603-670 |
| 01 | Appendix | 671-752 |
| 02 | Combined Chapter Questions | 671 |
| 03 | Fun Math: Brain Teasers | 680 |
| 04 | Questions of University Admission Test | 681 |
| 05 | Board Exam Questions | 699 |
Marks Distribution HSC EV Higher Math 2nd Paper "Full Marks : 100"
উপসংহার (Conclusion):
এই Higher Math 2nd Paper PDF ফাইলটি ইংরেজি ভার্সন শিক্ষার্থীদের জন্য একটি আদর্শ প্রস্তুতি উপকরণ। এতে পাঠ্যবই, গাইড ও প্রশ্নব্যাংক একসাথে থাকায় শিক্ষার্থীরা সহজেই পুরো সিলেবাস আয়ত্ত করতে পারবে এবং ২০২৬ সালের এইচএসসি পরীক্ষায় ভালো ফলাফল অর্জনে এগিয়ে থাকবে।