# Math Papers

The University of Lucknow faculty have redesigned their math papers to include more inquiry-based instruction.   The table below provides the STUDENT LEARNING OUTCOMES as well as lesson plans for how to teach the subject matter.   The lesson plans also include grading rubrics for evaluating the quality of the student performance of the learning activities.

## Differential Equations Paper

Student Learning Outcomes for the Differential Equations Paper
1. Demonstrate the knowledge and understanding the nature of differential equations.
2. Demonstrate the knowledge for solving first and second order equations.
3. Demonstrate the knowledge and understanding the boundary value problem.
4. Demonstrate the knowledge and understanding the power series solution of differential equation.
5. Demonstrate the knowledge and understanding of some mathematical Physics.
6. Demonstrate the ability of solving differential equation by different methods.
7. Develop the ability to motivate the students to use it in higher mathematics.
Differential Equations Lesson Plan La Place Transformations

This lesson plan provides a description of how you would teach and conduct the learning activities in order to achieve one or more of the STUDENT LEARNING OUTCOMES.
Department of Mathematics
University of Lucknow, UP, India
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## Algebra Paper

Student Learning Outcomes for the Algebra Paper
1. Demonstrate the knowledge and understanding the functions and relations.
2. Demonstrate the knowledge and understanding for some special types of matrices.
3. Demonstrate the knowledge for applying elementary operation on a matrix.
4. Dmonstrate the ability of solving linear equations by matrix.
5. Demonstrate the ability of solving determinants of higher order.
6. Demonstrate the knowledge and understanding the group theory and its properties.
7. Demonstrate the knowledge and understanding rings and related problems.
Algebra Lesson Plan Matrices

This lesson plan provides a description of how you would teach and conduct the learning activities in order to achieve one or more of the STUDENT LEARNING OUTCOMES.
Department of Mathematics
University of Lucknow, UP, India
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## Vector Algebra and Geometry Paper

Student Learning Outcomes for the Vector Algebra and Geometry Paper
1. Demonstrate the knowledge and understanding operations on vectors.
2. Demonstrate the knowledge and understanding the application of vector to geometry.
3. Demonstrate the knowledge and understanding the general equations of conics.
4. Demonstrate the ability of solving problems in 2-D geometry.
5. Demonstrate the knowledge and understanding the polar equation of conic and related problems.
6. Demonstrate the knowledge and understanding the 3-D geometry.
7. Demonstrate the ability to apply multiple methods to solving problems in 3-D geometry.
Vector Algebra and Geometry Lesson Plan General Equation of Second Degree of Conics

This lesson plan provides a description of how you would teach and conduct the learning activities in order to achieve one or more of the STUDENT LEARNING OUTCOMES.