Department of Mathematics
Overview
Teaching Learning
To increase learning experience of students, faculty members use ICT facilities.
Students are encouraged to ask questions and express their views.
Teachers upgrade their teaching skills and knowledge by attending workshops and seminars.
Capacity Building
To increase the learning experience of the students, the department organises several activities, short term certificate courses etc.
A short term certificate course in ‘ Mathematics For Competitive Examinations’ was conducted by department.
Student Progression, TY Result (20172021)
Year  No. of students  No. of student passed out 
20172018  20  16 
20182019  10  9 
20192020  11  10 
20202021  16 
Distinguished Alumni
Sr. No.  Name of the Alumnus/Alumna  Month & Year of Passing  
Mukta Joshi  20182019  PG  
Mrunali Gawas  20182019  PG  
Alfiya Aga  20182019  PG  
Priyanka Naik  20182019  
Rutesha Karbotkar  20182019  PG  
Gauri Gaonkar  20182019  PG  
Pragati Gaonkar  20182019  PG  
Shivani Desai  20182019  
Aditya Naik  20182019  PG  
Anupam Desai  20182019  PG  
Ijaj Khan  20182019  PG  
Rakshanda Solyekar  20182019  
Dipika Gauns  20182019  PG  
Shruti Sinari  20182019  B.Ed  
Pranali Gaonkar  20182019  PG  
Sujay Gaonkar  20182019  PG  
Sritej Pednekar  20192020  PG  
Preety Gawas  20192020  MCA  
Tejaswini/Shaila Kavalekar  20192020  PG  
Rahul Khandekar  20192020  PG  
Priya Rai  20192020  PG  
Shravan Malik  20192020  Inspector of Civil Supplies, Department of Civil Supplies and Consumer Affairs  
Vinda Gawade  20192020  B.Ed  
Presley Fernandes  20192020  PG  
Mohini Harwalkar  20192020  PG  
Kartikeyan  20192020  
Aniket Bordekar  20202021  
Amisha Golatkar  20202021  PG  
Ragunath Gaonkar  20202021  PG  
Samrudhi Ganapule  20202021  PG  
Sushmita Khambi  20202021  PG  
Faris Aga  20202021  
Manali Patil  20202021  PG  
Vinay Gaonkar  20202021  PG  
Sharva Bhave  20202021  PG  
Adarsha Sawant  20202021  
Vishakha Sutar  20202021  
Sristi Kholamkar  20212022  PG  
Veda Patade  20212022  
Ankur Joshi  20212022  
Sakshi Govekar  20212022  
Shreya Malgonkar  20212022  
Vaishnavi Kanekar  20212022  
Rucha Umarye  20212022  PG  
Yadnesh Sawant  20212022  PG  
Shruti Degvekar  20212022  PG  
Siya Naik  20212022  PG  
Mithil Desai  20212022  
Heramb Bhat  20212022  
Sangjana Malik  20212022  
Tanwesh Parab  20212022  PG  
Shravani Chari  20212022  
Lovely Gaonkar  20212022  
Vrushang Matkar  20212022  
Program Specific Outcomes
F.Y. B. Sc. Semester I
COURSE  CODE AND TITLE  ON COMPLETION OF THIS COURSE THE LEARNER WILL BE ABLE TO :

Mathematics (DSC)  DSC IA : Calculus and Numerical Methods  1) Understand the basic properties of real numbers, modulus, concepts of boundedness, sequences & its convergence.
2) Analyse and prove properties like limit, continuity, differentiability, mean value theorems, higher order derivatives, indeterminate forms. 3) Apply numerical techniques of interpolation, extrapolation, and determination of roots of transcendental equations with accuracy and Use of Python programming for these techniques. 4) Enhance problem solving skills/ ability to establishing limits using definition

Mathematics (GE)  GE01:Probability and Statistics

1) Interpret a given statistical data using basic statistical tools.
2) Demonstrate an ability to solve a range of problems using the techniques covered. 3) Select an appropriate test while testing a given statistical hypothesis and solve problems on it. 4) Measure the extent of linear relationship between the given variables. 
F.Y. B. Sc. Semester II
COURSE  CODE AND TITLE  ON COMPLETION OF THIS COURSE THE LEARNER WILL BE ABLE TO :

Mathematics (DSC)  DSC IB : Matrices and Linear Algebra  1) Students will have knowledge of Matrices, Determinant, Vector spaces and inner product spaces.
2) Students will be able to apply various concepts to solve problems. 3) Students will be able to solve system of linear equations and will be able to construct orthogonal basis from a given basis for a finite dimensional vector spaces. 4) Students will be able to correlate the various concepts in Matrices and Linear algebra and solve problems. 
Mathematics (GE)  GE2 : Numerical Computations  1) Able to find roots of transcendental equations.
2) Learn how to interpolate the given set of values. 3) Understand methods of curve fitting. 4) To compute integrals numerically using methods of Numerical Quadrature. 
S.Y. B.Sc. Semester III
COURSE  CODE AND TITLE  ON COMPLETION OF THIS COURSE THE LEARNER WILL BE ABLE TO :

Mathematics (DSC)  DSC 1C : Differential Equations and Discrete Mathematics  1) Design/model a simple reallife situation in form of a differential equation and demonstrate an intuitive and computational understanding of differential equations.
2) Select an appropriate technique of solving linear differential equations of first and second order with constant coefficients. 3) Explain some basic definitions in Graph theory and give examples thereof. 4) Determine shortest path/ minimum spanning tree using the standard algorithms and solve problems on graph. 
Mathematics (SEC)  SEC 1 : Statistical Methods  1) Interpret a given statistical data using basic statistical tools.
2) Demonstrate an ability to solve a range of problems using the techniques covered. 3) Select an appropriate test while testing a given statistical hypothesis. 4) Measure the extent of linear relationship between the given variables and estimate values of dependent variable using regression methods. 
S.Y. B.Sc. Semester IV
COURSE  CODE AND TITLE  ON COMPLETION OF THIS COURSE THE LEARNER WILL BE ABLE TO :

Mathematics (DSC)  DSC 1D: Analysis and Operations Research  1) Understand the concepts of Infinite series & it’s convergence (sum) using different methods, Sequence & series of functions, Riemann Integrability & properties.
2) Distinguish between point wise & uniform convergence of sequence & series of Functions and prove theorem based on convergence. 3) Construct formulation of real life problems as a mathematical model & determine their solutions using graphical & technical methods. 4) Analyse practically transportation, Assignment problems, queuing & inventory models & techniques of finding optimal solutions.

Mathematics (SEC)  SEC 2 : Analytical Geometry  1) Establish a correspondence between geometric curves and algebraic equations.
2) Identify the equation, vertex, focus, directrix and trace the graph of corresponding equation. 3) Understand the different terms like Chord, Tangent, Normal, Pole, Polar etc and analyse the relation between this terms and different conic sections. 4) Solve problems using what they have studied. 
T.Y. B.Sc. Semester V
COURSE  CODE AND TITLE  ON COMPLETION OF THIS COURSE THE LEARNER WILL BE ABLE TO

Mathematics
(DSC) 
MTC 105 : Algebra  1) Knowledge of Groups, Normal groups, internal direct product and rings.
2) Apply various concepts in Algebra to solve problems. 3) Determine the isomorphism class for a finite abelian group. Students will be able to write mathematical proofs. 4) Correlate the various concepts in Algebra and solve problems. 
Mathematics
(DSC) 
MTC 106 :Analysis II  1) Explain improper integrals & use different tests with analytic & comparison techniques to find the values and solve convergence problems.
2) Determine the radius & interval of convergence of power series, effect of term by term differentiation & integration of power series, addition & multiplication of power series and prove theorems on power series. 3) Describe periodic functions with periods 2 /2 & their expression as Fourier series & discuss related properties. 4) Learn about Inner product spaces with properties.

Mathematics
(DSC) 
MTC 107 :Calculus of 2 and 3 variables  1) Familiarize with functions of two variables & their related properties on limits, continuity, differentiability, extremums & constrained extrema.
2) Distinguish between scalar & vector fields and prove results based on gradient, divergence & curl. 3) Point out inter relationship between double, line, surface & volume integrals. 4) Sharpen problem solving skills through geometric visualizations & use of Transformations from Cartesian / to polar /to cylindrical /to spherical coordinate systems.

Mathematics
(ELECTIVE) 
MTE 101 : Foundations of Mathematics  1) Knowledge of set theory, functions, countable sets and order relations.
2) Apply various concepts to solve problems. 3) Write mathematical proofs. 4) Correlate the various concepts in Foundation of Mathematics and solve problems. 
Mathematics
(ELECTIVE) 
MTE 102 : Combinatorics  1) Describe the various counting techniques.
2) Demonstrate an ability to think laterally. 3) Analyse the given problem to find a way to solve it. 4) Derive some standard results/identities using combinatorial arguments and solve recurrence relations. 
T.Y. B.Sc. Semester VI
COURSE  CODE AND TITLE  ON COMPLETION OF THIS COURSE THE LEARNER WILL BE ABLE TO

Mathematics
(DSC) 
MTC108 : Differential EquationsII  1) Knowledge of nth order differential equations, Legendre polynomials, Bessel functions, Laplace transform and Numerical methods.
2) Apply various concepts to solve problems. 3) Solve different types of differential equations. 4) Correlate the various concepts in Differential Equations and prove results based on it. 
Mathematics
(DSC) 
MTC109 : Complex Analysis  1) Understand basic concepts of complex numbers and complex functions.
2) Determine when and where a given function is analytic and find its series expansion. 3) Explain some basic properties of complex integration and compute such integrals. 4) Describe conformal mappings between various plane regions. 
Mathematics
(DSC) 
MTC110 : Metric Spaces  1) Learn the concept of metric through various examples study tools such as open & closed sets.
2) Explore special points & to state interior, exterior of set of natural numbers, integers, rational & irrational numbers. 3) Acquaint with convergence of sequences, continuity of functions and prove related theorems. 4) Distinguish between connectedness & compactness properties.

Mathematics
(ELECTIVE) 
MTE103 : Number Theory  1) Display Understanding and knowledge of Diophantine Equations, Number Theoretic functions and some results on integers.
2) Prove important theorems in Number Theory. 3) Apply knowledge of congruence to solve Diophantine equations and some competitive exam problems. 4) Analyse and solve problems in Number theory and create appropriate arguments to justify the proofs.

F.Y. B.Com. Semester I
COURSE  CODE AND TITLE  ON COMPLETION OF THIS COURSE THE LEARNER WILL BE ABLE TO :

B.Com
(DSC) 
CC4 : Commercial Arithmetic I  1) Revise basic concepts such as set theory, quadratic equations and understand meanings of logical statements & its validity.
2) Learn progressions, matrix arrangements, determinants & it’s usefulness in solving simultaneous equations. 3) Know how to find possible arrangements & selections from given objects as permutations & combinations. 4) To develop problem solving skills in ratio & proportions, discounts. 
F.Y. B.Com. Semester II
COURSE  CODE AND TITLE  ON COMPLETION OF THIS COURSE THE LEARNER WILL BE ABLE TO :

B.Com.
(DSC) 
CC8 : Commercial Arithmetic II  1) Display Understanding and knowledge of basic concepts of geometry.
2) Prove important results in calculus. 3) Apply knowledge of derivatives and integration to some day to day problems. 4) Analyse and solve problems on Ratio, Proportion, Percentage and Discount. 
F.Y.B.Sc.
COURSE  CODE AND TITLE  Semester 
Mathematics (DSC)  DSC IA : Calculus and Numerical Methods  I 
Mathematics (GE)  GE01:Probability and Statistics

I 
Mathematics (DSC)  DSC IB : Matrices and Linear Algebra  II 
Mathematics (GE)  GE2 : Numerical Computations  II 
S.Y.B.Sc
COURSE  CODE AND TITLE  Semester 
Mathematics (DSC)  DSC 1C : Differential Equations and Discrete Mathematics  III 
Mathematics (SEC)  SEC 1 : Statistical Methods  III 
Mathematics (DSC)  DSC 1D: Analysis and Operations Research  IV 
Mathematics (SEC)  SEC 2 : Analytical Geometry  IV 
T.Y.B.Sc
COURSE  CODE AND TITLE  Semester 
Mathematics
(DSC) 
MTC 105 : Algebra  V 
Mathematics
(DSC) 
MTC 106 :Analysis II  V 
Mathematics
(DSC) 
MTC 107 :Calculus of 2 and 3 variables  V 
Mathematics
(ELECTIVE) 
MTE 101 : Foundations of Mathematics  V 
Mathematics
(ELECTIVE) 
MTE 102 : Combinatorics  V 
Mathematics
(DSC) 
MTC108 : Differential EquationsII  VI 
Mathematics
(DSC) 
MTC109 : Complex Analysis  VI 
Mathematics
(DSC) 
MTC110 : Metric Spaces  VI 
Mathematics
(ELECTIVE) 
MTE103 : Number Theory  VI 