AKTU Engineering Mathematics 1 (Subject Code: KAS-101/201) is the most important subject for B.Tech 1st Semester students at Dr. A.P.J. Abdul Kalam Technical University. Analysis of 6 years of PYQs (2018-19 to 2023-24) shows that 10 specific topics repeat in almost every paper. Mastering these topics guarantees scoring above 60 marks. RyzenStudy has all 6 years of Engineering Mathematics 1 papers available for free download.
AKTU Engineering Mathematics 1 — Subject Overview
| Detail | Information |
|---|---|
| Subject Name | Engineering Mathematics - I |
| Subject Code | KAS-101 (Odd Batch) / KAS-201 (Even Batch) |
| Semester | B.Tech 1st Semester (All Branches) |
| Total Marks | 100 (External 70 + Internal 30) |
| Credits | 4 Credits |
| Papers Available | 2018-19 to 2023-24 (6 years) |
AKTU Engineering Maths 1 — 5 Units ka Breakdown
- Unit 1 — Differential Calculus: Successive differentiation, Leibnitz theorem, Mean value theorems (Rolle, Lagrange, Cauchy), Taylor & Maclaurin series, Curvature, Asymptotes
- Unit 2 — Functions of Multiple Variables: Partial differentiation, Euler's theorem for homogeneous functions, Maxima-Minima (with Lagrange multipliers), Jacobians
- Unit 3 — Integral Calculus: Beta and Gamma functions, Multiple integrals (Double and Triple), Change of order of integration, Applications (Area, Volume)
- Unit 4 — Vector Calculus: Gradient, Divergence, Curl, Line integrals, Green's theorem, Stokes' theorem, Gauss Divergence theorem
- Unit 5 — Ordinary Differential Equations (ODE): First order ODE, Second order linear ODE with constant coefficients, Method of variation of parameters
10 Most Repeated Topics in AKTU Engineering Maths 1 (2018-2024)
PYQ analysis of 6 years reveals these topics appear in every or almost every paper:
- Leibnitz Theorem (Unit 1): Has appeared in Section B or C in 5 out of 6 years. Always asked with an nth derivative problem.
- Taylor/Maclaurin Series Expansion (Unit 1): Section C mein har paper mein milta hai — sin x, cos x, log(1+x), e^x ki expansion.
- Euler's Theorem for Homogeneous Functions (Unit 2): Section B ka most reliable question — verification & application.
- Maxima-Minima using Lagrange Multipliers (Unit 2): Appeared in 4/6 papers in Section C.
- Beta-Gamma Function Evaluation (Unit 3): Section A mein commonly aata hai + sometimes Section B.
- Change of Order of Integration (Unit 3): Section B aur C dono mein baar baar aata hai — diagram banana zaroori hai.
- Gradient, Divergence, Curl calculations (Unit 4): Short questions (Section A) mein almost guaranteed. Definition + formula = 2 marks pakke.
- Green's/Stokes'/Gauss Theorem Verification (Unit 4): Section C ka most common long question — ek theorem har paper mein zaroor aata hai.
- First Order ODE — Variable Separable & Exact (Unit 5): Section B ka staple question.
- Second Order ODE with Constant Coefficients (Unit 5): Section C mein aata hai — Complementary Function + Particular Integral method.
Section A Short Questions — Most Likely Questions
Section A mein yeh definitions/formulas almost definitely aayenge:
- Define Rolle's Theorem aur uski conditions
- What is the radius of curvature formula?
- State Euler's theorem for homogeneous functions
- Define Beta function & Gamma function relationship
- What is the difference between curl and divergence?
- State Green's theorem
- Write the formula for Jacobian of two variables
- What are asymptotes? Give example
- Define exact differential equation
- What is Lagrange's method of undetermined multipliers?
Free Download — AKTU Engineering Mathematics 1 PYQ Papers
Sabhi 6 saalon ke Engineering Mathematics 1 PYQ papers RyzenStudy par free available hain:
Frequently Asked Questions
AKTU Engineering Maths 1 mein passing marks kitne hain?
External exam (70 marks) mein 28 marks minimum aur total (100 marks) mein 45 marks minimum chahiye. Internal mein agar 20+ marks hain toh external mein sirf 25-30 marks se bhi pass ho sakte ho.
Kya Engineering Maths 1 ke UPTU purane papers useful hain?
Haan, UPTU era ke Engineering Mathematics papers bilkul relevant hain. Syllabus essentially same hai. 2015 se aage ke sab papers useful hain — fundamental theorems (Leibnitz, Euler, Green, Stokes) har era mein aate hain.
Engineering Maths 1 mein kaun sa unit sabse important hai?
PYQ analysis ke anusar Unit 4 (Vector Calculus) aur Unit 5 (ODE) mein Section C ke questions sabse high-scoring aur predictable hote hain. Unit 2 (Euler's Theorem) Section B mein almost guaranteed hai.