SPPU Engineering Mathematics I (BSC-101-BES): NEP 2020 Syllabus, Question Papers and Free Books
Everything a first-year SPPU engineering student needs for Semester I Mathematics on one page: unit-wise syllabus, exam scheme, previous year papers and free book links.
- 2024 Pattern
- NEP 2020
- Semester I
- All branches
Unit-wise syllabus (NEP 2020, 2024 Pattern)
Unit I: Single Variable Calculus8 hours
- Rolle’s Theorem and Mean Value Theorems
- Taylor’s and Maclaurin’s series
- Indeterminate forms and L’Hospital’s rule
- Fourier series: full range and half range, harmonic analysis, engineering applications
Unit II: Multivariable Calculus, Partial Differentiation8 hours
- Functions of several variables, limit, continuity, partial derivatives
- Euler’s theorem on homogeneous functions
- Partial derivative of composite functions, total derivative
- Change of independent variables
Unit III: Applications of Partial Differentiation8 hours
- Jacobian and its applications
- Errors and approximations
- Maxima and minima of functions of two variables
- Lagrange’s method of undetermined multipliers, engineering applications
Unit IV: Matrices and System of Linear Equations8 hours
- Rank of a matrix
- System of linear equations
- Linear dependence and independence
- Linear and orthogonal transformations, engineering applications
Unit V: Eigen Values, Eigen Vectors and Diagonalization8 hours
- Eigen values and eigen vectors
- Cayley-Hamilton theorem
- Diagonalization of a matrix
- Reduction of quadratic forms to canonical form by linear and orthogonal transformations
Download full FE 2024 syllabus PDF More FE syllabus links
Always cross-check with the official SPPU website: www.unipune.ac.in
Exam scheme and marks
| Component | Marks | Details |
|---|---|---|
| CCE (Comprehensive Continuous Evaluation) | 30 | Unit test on Units 1 and 2 (12), assignments on Units 3 and 4 (12), quiz / seminar / open book test on Unit 5 (6) |
| End-Semester Exam (ESE) | 70 | Written paper on all 5 units, 14 marks per unit |
| Term work | 25 | Six assignments, continuous internal assessment |
Teaching scheme: 3 hours theory and 1 hour tutorial per week.
SPPU previous year question papers
SPPU engineering papers (2019 and 2024 pattern)
Year-wise PDFs including Nov 2024 and Apr 2025 papers, all branches.
Open papersFE endsem papers and exam updates
Student channel with FE 2024 pattern papers and exam notices.
Open channelFE syllabus and resources
First year syllabus and study resources in one place.
Open FE pagePapers 2 to 4 above are student-run collections, not official SPPU pages. Verify marks pattern and dates from the university notice.
Engineering Mathematics books (free and legal PDF links)
Free full-text books that match the syllabus
Calculus Volume 1 (OpenStax)
Series, Taylor and Maclaurin, L’Hospital’s rule.
Free PDFCalculus Volume 2 (OpenStax)
Sequences, series and Fourier-style series background.
Free PDFCalculus Volume 3 (OpenStax)
Partial derivatives, Jacobian, maxima and minima, Lagrange multipliers.
Free PDFA First Course in Linear Algebra (Beezer)
Rank, linear systems, eigen values and diagonalization.
Free PDFPaul’s Online Math Notes
Clear notes with solved examples: partial derivatives and more.
Read onlineSPPU prescribed text and reference books
| Book | Author | Find it |
|---|---|---|
| Higher Engineering Mathematics (text) | B. V. Ramana | Internet Archive |
| Higher Engineering Mathematics (text) | B. S. Grewal | Internet Archive |
| Advanced Engineering Mathematics (reference) | Erwin Kreyszig | Internet Archive |
| Thomas’ Calculus (reference) | George B. Thomas | Internet Archive |
| Applied Mathematics Vol. I and II (reference) | P. N. and J. N. Wartikar | Buy from Vidyarthi Griha Prakashan, Pune |
| Elementary Linear Algebra (reference) | Ron Larson and David Falvo | Internet Archive |
These prescribed books are copyrighted. Internet Archive lets you borrow digital copies for free when a lending copy exists. For the print edition, please buy from your college bookstore or an authorised seller.
Video lectures
YouTube playlist from the syllabus
Course video playlist listed in the official Engineering Mathematics I syllabus.
Watch playlistFrequently asked questions
Is Engineering Mathematics I common for all branches?
Yes. The FE 2024 pattern syllabus is common to all UG engineering programs at SPPU.
How many units are in the syllabus?
Five units, each of 8 hours: single variable calculus and Fourier series, partial differentiation, applications of partial differentiation, matrices and linear equations, and eigen values with diagonalization.
How are the 70 end-semester marks divided?
The ESE covers all 5 units with 14 marks allotted per unit.
What comes in Engineering Mathematics II?
Semester II (BSC-151-BES) covers integral calculus, curve tracing and solid geometry, multiple integrals, first order ordinary differential equations and their applications.
Source: SPPU First Year Engineering 2024 Pattern syllabus, Faculty of Science and Technology. Third-party links are provided for student convenience; mathsedu.in does not host these files. Syllabus and exam rules can change, so please confirm on the official SPPU website. Share this post with your classmates and bookmark mathsedu.in for more Engineering Mathematics notes.
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