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BMATS101VTU · Sem 1

Mathematics-I for Computer Science and Engineering Stream

VTU 2022 scheme (OBE and CBCS, effective 2022-23) · Integrated course (theory + lab), 4 credits, L:T:P 2:2:2. 50 CIE + 50 SEE. CIE: theory 30 (three 20-mark tests + 20 marks of assignments/quizzes, 80 scaled to 30) + practical 20 (15 for lab records, 5 for lab test). SEE: 3-hour, 100-mark paper scaled to 50; 10 questions, 2 per module, 20 marks each (usually 6+7+7 sub-parts), answer one from each module; lab-based sub-questions up to 25 marks. Pass: min 18/50 in SEE and 40/100 overall.

Official syllabus

Revised 0 of 106 high-repeat questions

One-Night Pass Pack

Let P(r, θ) lie on the curve, ψ = angle of tangent with initial line, φ = angle between radius vector and tangent, so ψ = θ + φ. x = r cos θ, y = r sin θ, tan ψ = dy/dx = (sin θ dr/dθ + r cos θ)/(cos θ dr/dθ - r sin θ). Divide by cos θ dr/dθ: tan ψ = (tan θ + r dθ/dr)/(1 - tan θ r dθ/dr). Compare with tan(θ + φ) to get tan φ = r dθ/dr.
Full-marks tip: Draw the figure with O, P, the radius vector, the tangent, and angles θ, φ, ψ marked; it carries marks. End with the boxed result.

Exam kal hai? Send this Pass Pack to your batch group.

Unit-wise syllabus

U1Calculus

Weightage: Equal share: 1 of 5 modules (~20%); SEE has 2 questions of 20 marks per module, answer 1

Polar coordinates and polar curvesAngle between radius vector and tangent, angle between two curvesPedal equationsCurvature and radius of curvature: Cartesian, parametric, polar and pedal formsSelf-study: centre and circle of curvature, evolutes and involutes

U2Series Expansion and Multivariable Calculus

Weightage: Equal share: 1 of 5 modules (~20%); SEE has 2 questions of 20 marks per module, answer 1

Taylor's and Maclaurin's series for one variableIndeterminate forms and L'Hospital's rulePartial differentiation, total derivative, composite functionsJacobiansMaxima and minima of functions of two variablesSelf-study: Euler's theorem, Lagrange multipliers with one constraint

U3Ordinary Differential Equations of First Order

Weightage: Equal share: 1 of 5 modules (~20%); SEE has 2 questions of 20 marks per module, answer 1

Linear and Bernoulli's equationsExact equations and equations reducible to exact (integrating factors)Orthogonal trajectoriesL-R and C-R circuitsNon-linear ODEs: solvable for p, Clairaut's equation, reducible to Clairaut's form, singular solutions

U4Modular Arithmetic

Weightage: Equal share: 1 of 5 modules (~20%); SEE has 2 questions of 20 marks per module, answer 1

Congruences and linear congruencesRemainder theorem and solving polynomial congruencesLinear Diophantine equationsSystems of linear congruences (Chinese remainder theorem)Euler's theorem, Wilson's theorem, Fermat's little theoremRSA algorithm

U5Linear Algebra

Weightage: Equal share: 1 of 5 modules (~20%); SEE has 2 questions of 20 marks per module, answer 1

Elementary row transformations and rank of a matrixConsistency of linear systemsGauss elimination and Gauss-Jordan methodsGauss-Seidel iterationEigenvalues and eigenvectors, Rayleigh's power methodSelf-study: Gauss-Jacobi, inverse by Cayley-Hamilton

Curated video lectures

Free lectures from well-known educators, matched to units. Videos load only when you tap “Watch here”, to save data.

BMATS101 previous question paper solutions, all modules

Mathematics Tutor · Playlist · 47 videos · English

BMATS101 passing package (important questions)

Mathematics Tutor · Playlist · 58 videos · English

Polar curves and radius of curvature

Mathematics Tutor · Playlist · 35 videos · English · Unit 1

Partial differentiation, Jacobians, maxima and minima

Dr. Gajendra Purohit · Playlist · 17 videos · Hinglish · Unit 2

First order ODEs: linear, Bernoulli, exact, Clairaut

Dr. Gajendra Purohit · Playlist · 25 videos · Hinglish · Unit 3

Modular arithmetic basics (congruences)

Neso Academy · Single video · English · Unit 4

Matrices: rank, consistency, eigenvalues

Alex Maths Engineering · Playlist · 50 videos · English · Unit 5

Exam Guide Radar

Standard textbook

B. S. Grewal, Higher Engineering Mathematics (Khanna Publishers, 44th ed.); also E. Kreyszig, Advanced Engineering Mathematics (Wiley, 10th ed.) and David M. Burton, Elementary Number Theory (McGraw-Hill, 7th ed.) for Module 4

Exam guide students buy

Sunstar Exam Scanner or a Technical Publications / local VTU guide for Mathematics-I (CSE stream), 2022 scheme

Pick the 2022-scheme edition: question banks are arranged module-wise with solved VTU papers.

Local market tip

Check that the guide says BMATS101 and has the Modular Arithmetic module; 21-scheme (21MAT11) or 2025-scheme (1BMATS101) books have different modules, so buy only after confirming your batch's scheme.