1.1 Administrative details • Instructors: Aditya Gopalan ([email protected]), Parimal Parag ([email protected]) • Teaching assistant: Raghava GD ([email protected]) • Grading policy: Homework assignments (including programming exercises): 30%, Scribing lectures: 10%, Midterm exam: 20%, Final exam: 40% • Course webpage: www.ece.iisc.ernet.in/∼parimal/estimation.html • Sc...

Please answer the following questions in your blue book, one question per blue book. No credit will be awarded for answers without explanations. Calculators are allowed, but no points will be taken o¤ if you are unable to simplify a mathematical expression. Point totals are provided next to each question; the suggested number of minutes to spend on each question roughly corresponds to the point...

a) What are the possible values for the rank of A? Why? Solution By the Rank-Nullity Theorem 0 ≤ rank (A) ≤ min{6, 4} = 4. b) What are the possible values for the dimension of the kernel of A? Why? Solution Since dim(image(A)) ≤ 4, by the Rank-Nullity Theorem 2 ≤ dim ker(A) ≤ 6. c) Suppose the rank of A is as large as possible. What is the dimension of ker(A)? Explain. Solution Since then dim(i...

Some teachers adopt a blended learning model that combines traditional classroom teaching and an e-learning system. In this model, a teacher may teach the first few sessions in a classroom. After the students have established a general idea of the course, they can then proceed to on-line learning and interaction. This study aimed to discover the relationship between learning records and the lea...

Knowledge monitoring is an important metacognitive process which can help students improve study habits and thereby increase academic performance. Which is more useful in predicting test performance: knowing what you know, or knowing what you do not know? Two distinct constructs of knowledge monitoring calibration, sensitivity and specificity, were used along with the more traditional Gamma to ...

One of the primary objectives in most STEM classrooms is to provide educational experiences that will build and enhance students’ ability to think critically and to solve a wide set of different types of problems. To be competitive in the increasingly global society of the twenty-first century, scientists and engineers must often be able to innovate and “think outside the box” when solving a pr...

You have 3 hours and you have to answer 12 questions. Answer 9 out of questions 1–12, and you have to answer questions 13 – 15. Mark clearly which three questions are not to be graded. Each one of the first 9 questions is worth 18 points and the last three 12 points each (total of 200). You may use two sheets of paper freely written on four sides. Please attach them to the exam. Show full logic...

Exam has been used enormously as an assessment tool to measure students’ academic performance in most of the higher institutions in KSA. A good quality of a set of constructed items/questions on mid and final exam would be able to measure both students’ academic performance and their cognitive skills. We adopt Rasch Model to evaluate the reliability and quality of the first mid exam questions f...

Usually, higher education teachers have to deal with highly populated classes and low levels of motivation. Making more entertaining courses is a good way to overcome these limitations. But, how can fun and entertainment be introduced in a course which is mainly based on a final exam evaluation? We propose a new methodology based on two key ideas: (i) replacing the final exam with a series of a...

We study the problem of providing recommendations to students that help them in their studies. To address this problem, we present an approach of providing recommendations of remedial learning materials to students that fill the gaps in their knowledge of the subject in the courses they take. According to this method, we first identify gaps in the student’s mastery of various course topics. We ...