Bridge Course for MEd in Mathematics Education

Pedagogical Milestones

Bridge Course for MEd in Mathematics Education will primarily follow the basic pedagogical practices of the School of Education, such as ICT-based learning, inquiry-based learning, projectbased learning, collaborative learning, etc.

Evaluation Scheme

Modes of assessment: In-semester (50-60 %)
End-semester (50-40%)

Grading parameters

Graduation Mandates

To pass the Bridge Course, the scholar must maintain at least a grade C in individual courses and a Cumulative Grade Point Average (CGPA) of 3.0.

The calculation of CGPA and their impression is as follows.
CGPA is calculated at the end of the program using the given relation.

CGPA = (c1 g1+c2g2+c3g3 …) / (c1+c2+c3 ...)
Where c1, c2 … denote credits associated with the courses taken by the student and g1, g2 denote grade values of the letter grades earned in the respective courses.

CGPA at the end of the degree defines the division as follows:

The entire requirement must be completed within the one-year time frame, irrespective of the credits completed in different semesters.

Bachelor's degree in any discipline

The overall structure of this course comprises 15 credits, with a distribution of courses in the categories described below.

Outline of the curriculum

Course: EDMT 491 Algebra (3)

Course Learning Outcomes

• Develop knowledge and skills in Number systems (Real and complex number systems)
• Use and apply the concepts of permutation and combination
• Apply binomial theorem in problem-solving
• Use and apply the concepts of sequence and series
• Apply the concepts of matrices and determinants to solve problems
• Implement various strategies to solve the system of linear equations (max. three variables)
• Implement the concepts/ideas of set theory and relation in problem-solving
• Apply the concepts of relation and functions
• Develop knowledge and skills in group theory
• Explore and apply the fundamental concepts of Vector Geometry

Description

The course is designed to provide knowledge and skills of the concepts applicable to linear algebra. It gives students the conceptual knowledge to apply various concepts and ideas in problem-solving and daily life. In the present context, the use of linear algebra is everywhere, and students must develop the concepts. A person can use these competencies to solve problems by following a logical path and algebraic thinking. Algebra is also important in everyday life's critical thinking and problem-solving skills.

This course helps students think abstractly and see the world in more mathematical terms/ways. As the contents of algebra are fundamental in engineering, physics, computer science, economics, etc., students through this course will develop interdisciplinary mathematical skills to use and apply in a better understanding of the world.

Course: EDMT 492 Differential Calculus

Course Learning Outcomes

• Develop conceptual knowledge and skills in limit and continuity and use them in different situations
• Apply the concepts of intermediate forms
• Implement the concepts of derivatives in problem-solving
• Understand and apply the knowledge and skills of differentiation with its practical application in maxima and minima and numerical methods (Numerical differentiation)
• Apply the fundamental concepts of partial derivatives in problem-solving

Description

Due to the huge use of calculus in higher mathematics, problem-solving, and various other areas (e.g., finance, technology, engineering, etc.), the differential calculus course is designed to provide practical knowledge and exposure to students to apply various concepts and ideas. Differential calculus is a branch of calculus that studies the rates at which quantities change. It is a fundamental tool in mathematics, physics, engineering, and many other fields. Differential calculus is concerned with the study of the behavior of functions and how they change over time. The course contains various concepts and contents such as limit and continuity, intermediate forms, differentiation, applications of differentiation, etc. The course also includes applications and the underlying theory of limits, continuity, and differentiation for functions. The central emphasis is to have students develop conceptual knowledge and skills of differentiability, including the practical use to implement them in various scenarios and fields.

Course: EDMT 493 Integral Calculus

Course: Course Learning Outcomes

• Develop conceptual knowledge of integral calculus to use in various situations
• Apply the fundamental meaning of integration in problem-solving and understand the use of integration in daily life
• Use different rules of integration to solve problems
• Use the concepts of definite integral in problem-solving
• Use and apply the concepts of infinite integration in problem-solving
• Develop knowledge and skills in differential equations (Foundation and different forms of differential equations) and use them in problem-solving
• Implement the ideas of theorems on integrability
• Use numerical integration method (e.g., trapezoidal rule, Simpson’s rules, Gauss’s, Newton-Leibnitz rules, etc.)

Description

The course is designed to provide students with knowledge and skills of Integral calculus and its implication of it in the world. The course is the study of integrals and how they relate to the concept of differentiation. It is a fundamental tool in mathematics, physics, engineering, and many other fields. Integral calculus is concerned with studying the behavior of functions and how they change over time. The fundamental meaning of integration (or finite integration) is to find the area under a curve and to determine the total change of a function over a given interval. The course covers a wide range of topics, including the fundamental theorem of calculus, integration by substitution, integration by parts, partial fractions, improper integrals, and numerical integration. The course also includes applications and the underlying theory of integrals for functions. Due to the practical
nature of the course, students will be engaged in learning activities to explore the various uses of integral calculus ideas.

Course: EDMT 494 Geometry

Course Learning Outcomes

• Develop knowledge and skills in geometry, geometrical-mathematical thinking, and spatial thinking in problem-solving
• Use the ideas of Euclidean geometry in various situations
• Develop knowledge of Euclidean geometry
• Use the various concepts and ideas of co-ordinate systems in 2D and 3D geometry

Description

Geometry is a branch of mathematics that deals with the study of shapes, sizes, relative positions of figures, and the properties of space. It is concerned with the study of points, lines, angles, surfaces, and solids. Geometry is used in many fields, including physics, engineering, architecture, and computer graphics. With the intention that the world is all about geometry, the course is designed for students to involve in learning activities to develop knowledge and skills in geometrically defined thinking and mathematical skills. Starting with the fundamental ideas of Euclidean geometry, this course offers a wide range of conceptual ideas of geometry that are effective in problem-solving and use in day-to-day life. While doing so, the learning activities are integrated with technology to provide practical exposure and a meaningful understanding of geometry. Software such as GeoGebra, Desmos, etc. will be used in teaching and learning activities.

Course: EDMT 495 Probability and Statistics

Course Learning Outcomes

• Construct the meaning of probability and statistics to use them in various situations, including in the field of social science research
• Apply the ideas and concepts of probability in various situations
• Apply the conceptual ideas of statistics (descriptive and inferential)
• Use statistical software (Excel, Google Sheets, Orange, or SPSS) for data visualization, inference, and analyze the data

Description

The world is filled with data, and data is everywhere. The course is the study of random events and the analysis of data. Probability is the study of the likelihood of events occurring, while statistics is the study of data collection, analysis, interpretation, presentation, and organization. In this case, a person needs to understand the power of numerical data to process and analyze them by using various statistical parameters. People have a great future in data science and statistics now. The course covers a wide range of topics, including the foundation of probability and probability distribution, the foundation of statistics, and descriptive and inferential statistics. In such a context, this course offers students a wide range of knowledge and skills related to probability and statistics to apply their concepts in problem-solving and daily use. Students will be engaged in learning activities to perform probability and statistical analysis to understand better or compare and contrast different situations according to the data.