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MATHEMATICS

About Department

Department of Mathematics is established in 1992. Mathematics being an international subject is introduced for science stream as optional subject at national level and naturally has to have a department of its own. Proficiency in Mathematics is considered essential for higher professional and vocational education. Since the college level is a transitional stage between school and university efforts have to be taken to expand and develop the base which has been already provided in the school. The discipline of mathematics study can help in developing this perception and thus provide an additional tool for serious students of mathematics. Mathematics being the language of all sciences plays a significant role in science subjects. Presently our department consists of two permanent faculties. The faculty members are highly competent who inspire to keep pace with the current scientific knowledge. Mathematics is an optional subject for B.Sc. (Three year degree course). Department assists the students to become ready to face the problems of other areas of study by preparing them in the fundamental subject like Calculus, Geometry, Differential Equations, Numerical analysis, Theory of Equations, Theory of Matrices, Number Theory etc,.

Importance of the subject

There are vast opportunities for the aspirants who have passed B.Sc. Mathematics. They can pursue their higher studies in different areas. They can also look for jobs in different fields in private and public sector. There are various options available for B.Sc. Mathematics graduate to pursue their higher studies. One of the best higher studies option available for the B.Sc. Mathematics graduate is to do Master’s Degree in Mathematics followed by Ph.D. or M. Phil. Thus they can find a promising career in Research or Teaching field. Master of Computer Application (MCA) is the best higher study option for the B.Sc. Mathematics graduates who wish to pursue their career in IT sector. Research Agencies like Defense Research and Development Organization prefer MCA graduates with Mathematics background in their Remote Sensing Centers. So MCA is a good higher study option for the graduates in B.Sc. Mathematics, Master of Business Administration (MBA) is the best higher study option for the B.Sc. Mathematics graduates who wish to pursue their career in Management field. If they do the specialization in Finance in MBA, then they can reach up to higher positions like Chief Finance Officer in Corporate Sector. Various certification courses available in Commerce field for the B.Sc. Mathematics graduates are Chartered Accountant (CA), Chartered Financial Analyst (CFA), and Certified Financial Planner (CFP). There are jobs available in various other sectors for the graduates of B.Sc. Mathematics. These sectors are Software, Insurance, Marketing, Banking sector. There are also jobs available for these graduates in government sector. Various exams are conducted by UPSC every year for recruiting these graduates to several posts. Some of those exams are Tax Assistant exam, Statistical Investigator exam and Combined Graduate Level Exam. Most popular career option after B.Sc. Mathematics is teaching. There are plenty of colleges available in India which provides various courses in Mathematics. So it is easy to get job in this field. For that reason this career option is popular among the graduates of B.Sc. Mathematics.

Programme Outcomes:

By the end of B. Sc. (Mathematics) programme, a student will be able

PO1:  To interpret and analyze every perception in the life.

PO2: To construct Mathematical Modeling from real world problems

PO3: To use Mathematics in other disciplines.

PO4:  To recognize what constitutes mathematical thinking, including the ability to produce and judge the validity of rigorous mathematical arguments.

PO5: To develop scientific temper in students.

PO6: To achieve professional skills to ensure productive career

PO7: To acquire basic practical skills and technical knowledge along with domain knowledge of different subject in science stream.

PO8: Be prepared for life-long learning.

PO9: Develop effective communication skills.

PO9: To independently expand mathematical expertise when needed.

PO10: To acquire subject knowledge required for higher education and eligible for job opportunities.

Programme Specific Outcomes:

PSO1: Be Familiar with different areas of Mathematics.

PSO2: Construct modeling using mathematical tools.

PSO3: Develop the skills necessary to formulate and understand proofs and to provide justification.

PSO4: Able to solve problems using a broad range of significant mathematical techniques.

PSO5: Think critically and communicate clearly mathematical concepts and solutions to real-world problems.

PSO6: Develop creativity in the quest for novel or elegant solutions

PSO7: Develop an understanding of precise language of Mathematics and able to integrate mathematical arguments with their critical thinking skills.

Course Outcomes:

Programme and Semester

Name of the Courses

Course Outcomes

After the completion of the following courses, students will be able 

B. Sc. I

(Semester-I)

 Calculus (DSC-I)

CO1:  Find derivative of hyperbola, inverse hyperbolic functions and nth derivatives of given functions.

CO2: Find the Maclaurin,s series   expansion of the functions

CO3: Find the partial derivatives of functions

CO4: determine areas of plane regions, length of  curves and volume of solid of revolution

B. Sc. I

(Semester-I)

Lab Course (Based on DSC-I)

CO1: learn the derivatives of the functions of one variable

 

CO2: To learn the partial derivatives of the function

 

CO3: To learn applications of definite integral for quadrature, rectification and volume of solid of revolution

 

B. Sc. I

(Semester-I)

Combinatorial Mathematics (SEC-IA)

CO1:  Understanding of permutation and combinations

CO2: learn the circular permutations

CO3:  learn the division of different things divided into groups

CO4:  learn pigeonhole principle and inclusion-exclusion principle.

B. Sc. I

(Semester-I)

Combinatorial Mathematics ( Based on SEC-IA)

CO1: Apply permutation and combinations

CO2: Find the number of circular permutations

CO3 Find the number of ways of selection out of given things

CO4: Apply pigeonhole principle and inclusion-exclusion principle.

B. Sc. I

(Semester-I)

GE/OE: Business Mathematics-I

CO1: Apply Knowledge of ratios and proportions

CO2: Apply currency and discounts to business

CO3: Identify the functions and linear functions

CO4: Apply the identified functions to cost and profit

B. Sc. I

(Semester-II)

Differential Equations(DSC-3)

CO1:Learn the first order linear differential equations

CO2: Identify and solve the exact differential equations

CO3:Learn the general and short method of solution

CO4:Leaen linear homogeneous differential equations

B. Sc. I

(Semester-II)

Lab Course (Based on DSC-3)

CO1:Learn the first order linear differential equations

CO2: Identify and solve the exact differential equations

CO3:Learn the general and short method of solution

CO4:Learn linear homogeneous differential equations

B. Sc. I

(Semester-II)

Financial Accounting (VSC-1A)

CO1: Understanding of accounting and financial terminology

CO2: Learn the financial transactions

CO3: Use the financial statements to assess a company’s performance

B. Sc. I

(Semester-II)

Lab Course (Based on VSC-1A)

CO1: Understanding of accounting and financial terminology

CO2: Learn the financial transactions

CO3: Use the financial statements to assess a company’s performance

B. Sc. I

(Semester-II)

GE/OE: Matrices

CO1:Learn the fundamental of matrices

CO2: Determine the determinant of square matrix and minors of matrix

CO3:Perform the operation on matrices and study its properties

CO4: Identify the rank of matrix and solve the system of equation

B. Sc. II

(Semester-III)

Differential Equations

(MAT-301)

CO1: Determine solution of first order linear differential equation

CO2: Determine solution of exact differential equation

CO3: Determine solution of linear equation with constant coefficient using general and short method

CO4: Determine solution of linear homogeneous differential equation

B. Sc. II

(Semester-III)

Laplace and Fourier transform

(MAT-302)

CO1: Determine Laplace transform for various functions and understand the properties of Laplace transform.

CO2: Determine inverse Laplace transform properties of inverse Laplace transform and solve the problems using convolution theorem.

CO3: Determine Fourier Transform and understand the properties of Fourier transform, Fpurier sine and cosine transforms

CO4: Apply Laplace transform to find solutions of differential equations

B. Sc. II

(Semester-III)

Mechanics-I

(MAT-303)

Notices

Faculty Members

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SHRI. WAGHMARE R. V.

Email: waghmarerv@yahoo.com
Designation: Assistant Professor
Contact: 9860875464

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DR. AVHALE P.S.

Email: avhaleps@yahoo.com
Designation: Associate Professor
Contact: 7588854446

Laboratory Staff